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Finding the Fourth Proportional to 526,312.53, 726,310.75 and 284,594.53

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Solution

The fourth proportional to 526,312.53, 726,310.75 and 284,594.53 is: 392,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,312.53 : 726,310.75 = 284,594.53 : x
  2. Step 2: Convert to fraction form
    526,312.53/726,310.75 = 284,594.53/x
  3. Step 3: Cross multiply
    526,312.53x = 726,310.75 × 284,594.53
  4. Step 4: Simplify right side
    526,312.53x = 206,704,066,530.20
  5. Step 5: Solve for x
    x = 206,704,066,530.20/526,312.53
  6. Step 6: Final answer
    x = 392,740.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.