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Finding the Fourth Proportional to 832,320.20, 1,246,368.30 and 457,920.20

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Solution

The fourth proportional to 832,320.20, 1,246,368.30 and 457,920.20 is: 685,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,320.20 : 1,246,368.30 = 457,920.20 : x
  2. Step 2: Convert to fraction form
    832,320.20/1,246,368.30 = 457,920.20/x
  3. Step 3: Cross multiply
    832,320.20x = 1,246,368.30 × 457,920.20
  4. Step 4: Simplify right side
    832,320.20x = 570,737,221,209.66
  5. Step 5: Solve for x
    x = 570,737,221,209.66/832,320.20
  6. Step 6: Final answer
    x = 685,718.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.