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Finding the Fourth Proportional to 498,155.16, 746,870.64 and 198,545.88

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Solution

The fourth proportional to 498,155.16, 746,870.64 and 198,545.88 is: 297,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,155.16 : 746,870.64 = 198,545.88 : x
  2. Step 2: Convert to fraction form
    498,155.16/746,870.64 = 198,545.88/x
  3. Step 3: Cross multiply
    498,155.16x = 746,870.64 × 198,545.88
  4. Step 4: Simplify right side
    498,155.16x = 148,288,088,464.96
  5. Step 5: Solve for x
    x = 148,288,088,464.96/498,155.16
  6. Step 6: Final answer
    x = 297,674.50

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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.