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Finding the Fourth Proportional to 477,098.40, 658,458 and 307,824.96

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Solution

The fourth proportional to 477,098.40, 658,458 and 307,824.96 is: 424,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,098.40 : 658,458 = 307,824.96 : x
  2. Step 2: Convert to fraction form
    477,098.40/658,458 = 307,824.96/x
  3. Step 3: Cross multiply
    477,098.40x = 658,458 × 307,824.96
  4. Step 4: Simplify right side
    477,098.40x = 202,689,807,511.68
  5. Step 5: Solve for x
    x = 202,689,807,511.68/477,098.40
  6. Step 6: Final answer
    x = 424,838.58

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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.