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Finding the Fourth Proportional to 537,805.68, 742,143.60 and 296,041.02

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Solution

The fourth proportional to 537,805.68, 742,143.60 and 296,041.02 is: 408,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,805.68 : 742,143.60 = 296,041.02 : x
  2. Step 2: Convert to fraction form
    537,805.68/742,143.60 = 296,041.02/x
  3. Step 3: Cross multiply
    537,805.68x = 742,143.60 × 296,041.02
  4. Step 4: Simplify right side
    537,805.68x = 219,704,948,330.47
  5. Step 5: Solve for x
    x = 219,704,948,330.47/537,805.68
  6. Step 6: Final answer
    x = 408,521.06

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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.