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Finding the Fourth Proportional to 476,740.92, 657,714.36 and 307,073.52

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Solution

The fourth proportional to 476,740.92, 657,714.36 and 307,073.52 is: 423,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,740.92 : 657,714.36 = 307,073.52 : x
  2. Step 2: Convert to fraction form
    476,740.92/657,714.36 = 307,073.52/x
  3. Step 3: Cross multiply
    476,740.92x = 657,714.36 × 307,073.52
  4. Step 4: Simplify right side
    476,740.92x = 201,966,663,679.75
  5. Step 5: Solve for x
    x = 201,966,663,679.75/476,740.92
  6. Step 6: Final answer
    x = 423,640.29

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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.