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Finding the Fourth Proportional to 584,047.20, 875,422.80 and 228,943.20

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Solution

The fourth proportional to 584,047.20, 875,422.80 and 228,943.20 is: 343,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,047.20 : 875,422.80 = 228,943.20 : x
  2. Step 2: Convert to fraction form
    584,047.20/875,422.80 = 228,943.20/x
  3. Step 3: Cross multiply
    584,047.20x = 875,422.80 × 228,943.20
  4. Step 4: Simplify right side
    584,047.20x = 200,422,097,184.96
  5. Step 5: Solve for x
    x = 200,422,097,184.96/584,047.20
  6. Step 6: Final answer
    x = 343,160.79

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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.