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Finding the Fourth Proportional to 468,574.08, 702,854.82 and 113,591.16

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Solution

The fourth proportional to 468,574.08, 702,854.82 and 113,591.16 is: 170,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,574.08 : 702,854.82 = 113,591.16 : x
  2. Step 2: Convert to fraction form
    468,574.08/702,854.82 = 113,591.16/x
  3. Step 3: Cross multiply
    468,574.08x = 702,854.82 × 113,591.16
  4. Step 4: Simplify right side
    468,574.08x = 79,838,094,315.39
  5. Step 5: Solve for x
    x = 79,838,094,315.39/468,574.08
  6. Step 6: Final answer
    x = 170,385.21

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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.