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Finding the Fourth Proportional to 537,720.90, 742,081.49 and 296,000.90

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Solution

The fourth proportional to 537,720.90, 742,081.49 and 296,000.90 is: 408,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,720.90 : 742,081.49 = 296,000.90 : x
  2. Step 2: Convert to fraction form
    537,720.90/742,081.49 = 296,000.90/x
  3. Step 3: Cross multiply
    537,720.90x = 742,081.49 × 296,000.90
  4. Step 4: Simplify right side
    537,720.90x = 219,656,788,913.34
  5. Step 5: Solve for x
    x = 219,656,788,913.34/537,720.90
  6. Step 6: Final answer
    x = 408,495.91

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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.