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Finding the Fourth Proportional to 498,133.70, 747,200.55 and 456,143.30

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Solution

The fourth proportional to 498,133.70, 747,200.55 and 456,143.30 is: 684,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,133.70 : 747,200.55 = 456,143.30 : x
  2. Step 2: Convert to fraction form
    498,133.70/747,200.55 = 456,143.30/x
  3. Step 3: Cross multiply
    498,133.70x = 747,200.55 × 456,143.30
  4. Step 4: Simplify right side
    498,133.70x = 340,830,524,638.82
  5. Step 5: Solve for x
    x = 340,830,524,638.82/498,133.70
  6. Step 6: Final answer
    x = 684,214.95

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Similar ratio
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1.5x scale

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.