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Finding the Fourth Proportional to 477,712.52, 715,923.18 and 182,063.24

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Solution

The fourth proportional to 477,712.52, 715,923.18 and 182,063.24 is: 272,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,712.52 : 715,923.18 = 182,063.24 : x
  2. Step 2: Convert to fraction form
    477,712.52/715,923.18 = 182,063.24/x
  3. Step 3: Cross multiply
    477,712.52x = 715,923.18 × 182,063.24
  4. Step 4: Simplify right side
    477,712.52x = 130,343,293,741.90
  5. Step 5: Solve for x
    x = 130,343,293,741.90/477,712.52
  6. Step 6: Final answer
    x = 272,848.81

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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.