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Finding the Fourth Proportional to 442,734.93, 664,296.80 and 232,323.66

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Solution

The fourth proportional to 442,734.93, 664,296.80 and 232,323.66 is: 348,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,734.93 : 664,296.80 = 232,323.66 : x
  2. Step 2: Convert to fraction form
    442,734.93/664,296.80 = 232,323.66/x
  3. Step 3: Cross multiply
    442,734.93x = 664,296.80 × 232,323.66
  4. Step 4: Simplify right side
    442,734.93x = 154,331,862,740.67
  5. Step 5: Solve for x
    x = 154,331,862,740.67/442,734.93
  6. Step 6: Final answer
    x = 348,587.50

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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.