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Finding the Fourth Proportional to 347,929.74, 480,098.16 and 204,637.50

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Solution

The fourth proportional to 347,929.74, 480,098.16 and 204,637.50 is: 282,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,929.74 : 480,098.16 = 204,637.50 : x
  2. Step 2: Convert to fraction form
    347,929.74/480,098.16 = 204,637.50/x
  3. Step 3: Cross multiply
    347,929.74x = 480,098.16 × 204,637.50
  4. Step 4: Simplify right side
    347,929.74x = 98,246,087,217
  5. Step 5: Solve for x
    x = 98,246,087,217/347,929.74
  6. Step 6: Final answer
    x = 282,373.35

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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.