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Finding the Fourth Proportional to 458,948.94, 688,044.33 and 202,598.97

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Solution

The fourth proportional to 458,948.94, 688,044.33 and 202,598.97 is: 303,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,948.94 : 688,044.33 = 202,598.97 : x
  2. Step 2: Convert to fraction form
    458,948.94/688,044.33 = 202,598.97/x
  3. Step 3: Cross multiply
    458,948.94x = 688,044.33 × 202,598.97
  4. Step 4: Simplify right side
    458,948.94x = 139,397,072,572.34
  5. Step 5: Solve for x
    x = 139,397,072,572.34/458,948.94
  6. Step 6: Final answer
    x = 303,731.11

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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.