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Finding the Fourth Proportional to 478,473.86, 717,686.93 and 178,932.42

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Solution

The fourth proportional to 478,473.86, 717,686.93 and 178,932.42 is: 268,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,473.86 : 717,686.93 = 178,932.42 : x
  2. Step 2: Convert to fraction form
    478,473.86/717,686.93 = 178,932.42/x
  3. Step 3: Cross multiply
    478,473.86x = 717,686.93 × 178,932.42
  4. Step 4: Simplify right side
    478,473.86x = 128,417,459,187.27
  5. Step 5: Solve for x
    x = 128,417,459,187.27/478,473.86
  6. Step 6: Final answer
    x = 268,389.71

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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.