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Finding the Fourth Proportional to 5,233,332.48, 7,849,998.72 and 1,639,129.20

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Solution

The fourth proportional to 5,233,332.48, 7,849,998.72 and 1,639,129.20 is: 2,458,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233,332.48 : 7,849,998.72 = 1,639,129.20 : x
  2. Step 2: Convert to fraction form
    5,233,332.48/7,849,998.72 = 1,639,129.20/x
  3. Step 3: Cross multiply
    5,233,332.48x = 7,849,998.72 × 1,639,129.20
  4. Step 4: Simplify right side
    5,233,332.48x = 12,867,162,121,914.62
  5. Step 5: Solve for x
    x = 12,867,162,121,914.62/5,233,332.48
  6. Step 6: Final answer
    x = 2,458,693.80

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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.