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Finding the Fourth Proportional to 496,510.90, 745,074.15 and 260,023.30

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Solution

The fourth proportional to 496,510.90, 745,074.15 and 260,023.30 is: 390,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,510.90 : 745,074.15 = 260,023.30 : x
  2. Step 2: Convert to fraction form
    496,510.90/745,074.15 = 260,023.30/x
  3. Step 3: Cross multiply
    496,510.90x = 745,074.15 × 260,023.30
  4. Step 4: Simplify right side
    496,510.90x = 193,736,639,227.70
  5. Step 5: Solve for x
    x = 193,736,639,227.70/496,510.90
  6. Step 6: Final answer
    x = 390,196.15

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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.