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Finding the Fourth Proportional to 468,854.96, 699,164.48 and 464,592.13

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Solution

The fourth proportional to 468,854.96, 699,164.48 and 464,592.13 is: 692,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,854.96 : 699,164.48 = 464,592.13 : x
  2. Step 2: Convert to fraction form
    468,854.96/699,164.48 = 464,592.13/x
  3. Step 3: Cross multiply
    468,854.96x = 699,164.48 × 464,592.13
  4. Step 4: Simplify right side
    468,854.96x = 324,826,314,397.11
  5. Step 5: Solve for x
    x = 324,826,314,397.11/468,854.96
  6. Step 6: Final answer
    x = 692,807.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.