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Finding the Fourth Proportional to 450,088.92, 675,465.66 and 213,432.39

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Solution

The fourth proportional to 450,088.92, 675,465.66 and 213,432.39 is: 320,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,088.92 : 675,465.66 = 213,432.39 : x
  2. Step 2: Convert to fraction form
    450,088.92/675,465.66 = 213,432.39/x
  3. Step 3: Cross multiply
    450,088.92x = 675,465.66 × 213,432.39
  4. Step 4: Simplify right side
    450,088.92x = 144,166,250,176.73
  5. Step 5: Solve for x
    x = 144,166,250,176.73/450,088.92
  6. Step 6: Final answer
    x = 320,306.15

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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.