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Finding the Fourth Proportional to 649,870.63, 974,430.73 and 200,470.83

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Solution

The fourth proportional to 649,870.63, 974,430.73 and 200,470.83 is: 300,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,870.63 : 974,430.73 = 200,470.83 : x
  2. Step 2: Convert to fraction form
    649,870.63/974,430.73 = 200,470.83/x
  3. Step 3: Cross multiply
    649,870.63x = 974,430.73 × 200,470.83
  4. Step 4: Simplify right side
    649,870.63x = 195,344,937,220.61
  5. Step 5: Solve for x
    x = 195,344,937,220.61/649,870.63
  6. Step 6: Final answer
    x = 300,590.50

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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.