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Finding the Fourth Proportional to 402,565.38, 555,541.62 and 221,293.04

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Solution

The fourth proportional to 402,565.38, 555,541.62 and 221,293.04 is: 305,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,565.38 : 555,541.62 = 221,293.04 : x
  2. Step 2: Convert to fraction form
    402,565.38/555,541.62 = 221,293.04/x
  3. Step 3: Cross multiply
    402,565.38x = 555,541.62 × 221,293.04
  4. Step 4: Simplify right side
    402,565.38x = 122,937,493,936.33
  5. Step 5: Solve for x
    x = 122,937,493,936.33/402,565.38
  6. Step 6: Final answer
    x = 305,385.16

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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.