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Finding the Fourth Proportional to 649,809.60, 972,964.80 and 649,809.60

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Solution

The fourth proportional to 649,809.60, 972,964.80 and 649,809.60 is: 972,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,809.60 : 972,964.80 = 649,809.60 : x
  2. Step 2: Convert to fraction form
    649,809.60/972,964.80 = 649,809.60/x
  3. Step 3: Cross multiply
    649,809.60x = 972,964.80 × 649,809.60
  4. Step 4: Simplify right side
    649,809.60x = 632,241,867,502.08
  5. Step 5: Solve for x
    x = 632,241,867,502.08/649,809.60
  6. Step 6: Final answer
    x = 972,964.80

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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.