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Finding the Fourth Proportional to 384,730.56, 577,105.56 and 182,279.16

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Solution

The fourth proportional to 384,730.56, 577,105.56 and 182,279.16 is: 273,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,730.56 : 577,105.56 = 182,279.16 : x
  2. Step 2: Convert to fraction form
    384,730.56/577,105.56 = 182,279.16/x
  3. Step 3: Cross multiply
    384,730.56x = 577,105.56 × 182,279.16
  4. Step 4: Simplify right side
    384,730.56x = 105,194,316,708.13
  5. Step 5: Solve for x
    x = 105,194,316,708.13/384,730.56
  6. Step 6: Final answer
    x = 273,423.35

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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.