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Finding the Fourth Proportional to 470,773.60, 705,937.92 and 171,045.16

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Solution

The fourth proportional to 470,773.60, 705,937.92 and 171,045.16 is: 256,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,773.60 : 705,937.92 = 171,045.16 : x
  2. Step 2: Convert to fraction form
    470,773.60/705,937.92 = 171,045.16/x
  3. Step 3: Cross multiply
    470,773.60x = 705,937.92 × 171,045.16
  4. Step 4: Simplify right side
    470,773.60x = 120,747,264,476.47
  5. Step 5: Solve for x
    x = 120,747,264,476.47/470,773.60
  6. Step 6: Final answer
    x = 256,486.91

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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.