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Finding the Fourth Proportional to 487,094.52, 730,714.50 and 150,107.16

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Solution

The fourth proportional to 487,094.52, 730,714.50 and 150,107.16 is: 225,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,094.52 : 730,714.50 = 150,107.16 : x
  2. Step 2: Convert to fraction form
    487,094.52/730,714.50 = 150,107.16/x
  3. Step 3: Cross multiply
    487,094.52x = 730,714.50 × 150,107.16
  4. Step 4: Simplify right side
    487,094.52x = 109,685,478,365.82
  5. Step 5: Solve for x
    x = 109,685,478,365.82/487,094.52
  6. Step 6: Final answer
    x = 225,183.15

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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.