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Finding the Fourth Proportional to 535,432.52, 738,897.14 and 296,968.52

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Solution

The fourth proportional to 535,432.52, 738,897.14 and 296,968.52 is: 409,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,432.52 : 738,897.14 = 296,968.52 : x
  2. Step 2: Convert to fraction form
    535,432.52/738,897.14 = 296,968.52/x
  3. Step 3: Cross multiply
    535,432.52x = 738,897.14 × 296,968.52
  4. Step 4: Simplify right side
    535,432.52x = 219,429,190,098.03
  5. Step 5: Solve for x
    x = 219,429,190,098.03/535,432.52
  6. Step 6: Final answer
    x = 409,816.70

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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.