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Finding the Fourth Proportional to 705,306.49, 973,620.89 and 476,174.12

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Solution

The fourth proportional to 705,306.49, 973,620.89 and 476,174.12 is: 657,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,306.49 : 973,620.89 = 476,174.12 : x
  2. Step 2: Convert to fraction form
    705,306.49/973,620.89 = 476,174.12/x
  3. Step 3: Cross multiply
    705,306.49x = 973,620.89 × 476,174.12
  4. Step 4: Simplify right side
    705,306.49x = 463,613,068,128.50
  5. Step 5: Solve for x
    x = 463,613,068,128.50/705,306.49
  6. Step 6: Final answer
    x = 657,321.43

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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.