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Finding the Fourth Proportional to 472,034.34, 707,898.39 and 156,406.50

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Solution

The fourth proportional to 472,034.34, 707,898.39 and 156,406.50 is: 234,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,034.34 : 707,898.39 = 156,406.50 : x
  2. Step 2: Convert to fraction form
    472,034.34/707,898.39 = 156,406.50/x
  3. Step 3: Cross multiply
    472,034.34x = 707,898.39 × 156,406.50
  4. Step 4: Simplify right side
    472,034.34x = 110,719,909,535.54
  5. Step 5: Solve for x
    x = 110,719,909,535.54/472,034.34
  6. Step 6: Final answer
    x = 234,559.01

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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.