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Finding the Fourth Proportional to 537,002.40, 804,812.40 and 411,722.40

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Solution

The fourth proportional to 537,002.40, 804,812.40 and 411,722.40 is: 617,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,002.40 : 804,812.40 = 411,722.40 : x
  2. Step 2: Convert to fraction form
    537,002.40/804,812.40 = 411,722.40/x
  3. Step 3: Cross multiply
    537,002.40x = 804,812.40 × 411,722.40
  4. Step 4: Simplify right side
    537,002.40x = 331,359,292,877.76
  5. Step 5: Solve for x
    x = 331,359,292,877.76/537,002.40
  6. Step 6: Final answer
    x = 617,053.65

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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.