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Finding the Fourth Proportional to 680,686.20, 1,021,029.30 and 456,737.40

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Solution

The fourth proportional to 680,686.20, 1,021,029.30 and 456,737.40 is: 685,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,686.20 : 1,021,029.30 = 456,737.40 : x
  2. Step 2: Convert to fraction form
    680,686.20/1,021,029.30 = 456,737.40/x
  3. Step 3: Cross multiply
    680,686.20x = 1,021,029.30 × 456,737.40
  4. Step 4: Simplify right side
    680,686.20x = 466,342,267,805.82
  5. Step 5: Solve for x
    x = 466,342,267,805.82/680,686.20
  6. Step 6: Final answer
    x = 685,106.10

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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.