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Finding the Fourth Proportional to 462,308.80, 693,465.84 and 142,456.48

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Solution

The fourth proportional to 462,308.80, 693,465.84 and 142,456.48 is: 213,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,308.80 : 693,465.84 = 142,456.48 : x
  2. Step 2: Convert to fraction form
    462,308.80/693,465.84 = 142,456.48/x
  3. Step 3: Cross multiply
    462,308.80x = 693,465.84 × 142,456.48
  4. Step 4: Simplify right side
    462,308.80x = 98,788,702,566.64
  5. Step 5: Solve for x
    x = 98,788,702,566.64/462,308.80
  6. Step 6: Final answer
    x = 213,685.53

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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.