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Finding the Fourth Proportional to 546,901.20, 820,351.80 and 147,603.60

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Solution

The fourth proportional to 546,901.20, 820,351.80 and 147,603.60 is: 221,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,901.20 : 820,351.80 = 147,603.60 : x
  2. Step 2: Convert to fraction form
    546,901.20/820,351.80 = 147,603.60/x
  3. Step 3: Cross multiply
    546,901.20x = 820,351.80 × 147,603.60
  4. Step 4: Simplify right side
    546,901.20x = 121,086,878,946.48
  5. Step 5: Solve for x
    x = 121,086,878,946.48/546,901.20
  6. Step 6: Final answer
    x = 221,405.40

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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.