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Finding the Fourth Proportional to 402,391.52, 602,996.50 and 202,437.08

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Solution

The fourth proportional to 402,391.52, 602,996.50 and 202,437.08 is: 303,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,391.52 : 602,996.50 = 202,437.08 : x
  2. Step 2: Convert to fraction form
    402,391.52/602,996.50 = 202,437.08/x
  3. Step 3: Cross multiply
    402,391.52x = 602,996.50 × 202,437.08
  4. Step 4: Simplify right side
    402,391.52x = 122,068,850,710.22
  5. Step 5: Solve for x
    x = 122,068,850,710.22/402,391.52
  6. Step 6: Final answer
    x = 303,358.41

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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.