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Finding the Fourth Proportional to 523,052.80, 783,528.96 and 442,746.88

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Solution

The fourth proportional to 523,052.80, 783,528.96 and 442,746.88 is: 663,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,052.80 : 783,528.96 = 442,746.88 : x
  2. Step 2: Convert to fraction form
    523,052.80/783,528.96 = 442,746.88/x
  3. Step 3: Cross multiply
    523,052.80x = 783,528.96 × 442,746.88
  4. Step 4: Simplify right side
    523,052.80x = 346,905,002,429.65
  5. Step 5: Solve for x
    x = 346,905,002,429.65/523,052.80
  6. Step 6: Final answer
    x = 663,231.33

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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.