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Finding the Fourth Proportional to 384,746.20, 577,129.20 and 182,294.80

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Solution

The fourth proportional to 384,746.20, 577,129.20 and 182,294.80 is: 273,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,746.20 : 577,129.20 = 182,294.80 : x
  2. Step 2: Convert to fraction form
    384,746.20/577,129.20 = 182,294.80/x
  3. Step 3: Cross multiply
    384,746.20x = 577,129.20 × 182,294.80
  4. Step 4: Simplify right side
    384,746.20x = 105,207,652,088.16
  5. Step 5: Solve for x
    x = 105,207,652,088.16/384,746.20
  6. Step 6: Final answer
    x = 273,446.89

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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.