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Finding the Fourth Proportional to 462,887.90, 693,700.91 and 283,036.08

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Solution

The fourth proportional to 462,887.90, 693,700.91 and 283,036.08 is: 424,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,887.90 : 693,700.91 = 283,036.08 : x
  2. Step 2: Convert to fraction form
    462,887.90/693,700.91 = 283,036.08/x
  3. Step 3: Cross multiply
    462,887.90x = 693,700.91 × 283,036.08
  4. Step 4: Simplify right side
    462,887.90x = 196,342,386,196.43
  5. Step 5: Solve for x
    x = 196,342,386,196.43/462,887.90
  6. Step 6: Final answer
    x = 424,168.33

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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.