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Finding the Fourth Proportional to 409,032.65, 564,742.14 and 256,132.19

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Solution

The fourth proportional to 409,032.65, 564,742.14 and 256,132.19 is: 353,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,032.65 : 564,742.14 = 256,132.19 : x
  2. Step 2: Convert to fraction form
    409,032.65/564,742.14 = 256,132.19/x
  3. Step 3: Cross multiply
    409,032.65x = 564,742.14 × 256,132.19
  4. Step 4: Simplify right side
    409,032.65x = 144,648,641,103.49
  5. Step 5: Solve for x
    x = 144,648,641,103.49/409,032.65
  6. Step 6: Final answer
    x = 353,635.93

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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.