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Finding the Fourth Proportional to 472,064.54, 708,091.34 and 282,577.86

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Solution

The fourth proportional to 472,064.54, 708,091.34 and 282,577.86 is: 423,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,064.54 : 708,091.34 = 282,577.86 : x
  2. Step 2: Convert to fraction form
    472,064.54/708,091.34 = 282,577.86/x
  3. Step 3: Cross multiply
    472,064.54x = 708,091.34 × 282,577.86
  4. Step 4: Simplify right side
    472,064.54x = 200,090,934,128.84
  5. Step 5: Solve for x
    x = 200,090,934,128.84/472,064.54
  6. Step 6: Final answer
    x = 423,863.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.