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Finding the Fourth Proportional to 683,123.84, 942,707.28 and 396,714.32

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Solution

The fourth proportional to 683,123.84, 942,707.28 and 396,714.32 is: 547,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,123.84 : 942,707.28 = 396,714.32 : x
  2. Step 2: Convert to fraction form
    683,123.84/942,707.28 = 396,714.32/x
  3. Step 3: Cross multiply
    683,123.84x = 942,707.28 × 396,714.32
  4. Step 4: Simplify right side
    683,123.84x = 373,985,477,544.25
  5. Step 5: Solve for x
    x = 373,985,477,544.25/683,123.84
  6. Step 6: Final answer
    x = 547,463.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.