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Finding the Fourth Proportional to 464,494.73, 696,740.80 and 127,535.74

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Solution

The fourth proportional to 464,494.73, 696,740.80 and 127,535.74 is: 191,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,494.73 : 696,740.80 = 127,535.74 : x
  2. Step 2: Convert to fraction form
    464,494.73/696,740.80 = 127,535.74/x
  3. Step 3: Cross multiply
    464,494.73x = 696,740.80 × 127,535.74
  4. Step 4: Simplify right side
    464,494.73x = 88,859,353,833.56
  5. Step 5: Solve for x
    x = 88,859,353,833.56/464,494.73
  6. Step 6: Final answer
    x = 191,303.26

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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.