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Finding the Fourth Proportional to 546,831.20, 820,246.80 and 546,831.20

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Solution

The fourth proportional to 546,831.20, 820,246.80 and 546,831.20 is: 820,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,831.20 : 820,246.80 = 546,831.20 : x
  2. Step 2: Convert to fraction form
    546,831.20/820,246.80 = 546,831.20/x
  3. Step 3: Cross multiply
    546,831.20x = 820,246.80 × 546,831.20
  4. Step 4: Simplify right side
    546,831.20x = 448,536,541,940.16
  5. Step 5: Solve for x
    x = 448,536,541,940.16/546,831.20
  6. Step 6: Final answer
    x = 820,246.80

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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.