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Finding the Fourth Proportional to 413,094.92, 619,671.98 and 172,967.20

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Solution

The fourth proportional to 413,094.92, 619,671.98 and 172,967.20 is: 259,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,094.92 : 619,671.98 = 172,967.20 : x
  2. Step 2: Convert to fraction form
    413,094.92/619,671.98 = 172,967.20/x
  3. Step 3: Cross multiply
    413,094.92x = 619,671.98 × 172,967.20
  4. Step 4: Simplify right side
    413,094.92x = 107,182,927,299.06
  5. Step 5: Solve for x
    x = 107,182,927,299.06/413,094.92
  6. Step 6: Final answer
    x = 259,463.19

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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.