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Finding the Fourth Proportional to 475,854.41, 713,615.59 and 191,471.28

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Solution

The fourth proportional to 475,854.41, 713,615.59 and 191,471.28 is: 287,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,854.41 : 713,615.59 = 191,471.28 : x
  2. Step 2: Convert to fraction form
    475,854.41/713,615.59 = 191,471.28/x
  3. Step 3: Cross multiply
    475,854.41x = 713,615.59 × 191,471.28
  4. Step 4: Simplify right side
    475,854.41x = 136,636,891,557.62
  5. Step 5: Solve for x
    x = 136,636,891,557.62/475,854.41
  6. Step 6: Final answer
    x = 287,140.12

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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.