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Finding the Fourth Proportional to 390,051.60, 584,616.60 and 165,411.60

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Solution

The fourth proportional to 390,051.60, 584,616.60 and 165,411.60 is: 247,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,051.60 : 584,616.60 = 165,411.60 : x
  2. Step 2: Convert to fraction form
    390,051.60/584,616.60 = 165,411.60/x
  3. Step 3: Cross multiply
    390,051.60x = 584,616.60 × 165,411.60
  4. Step 4: Simplify right side
    390,051.60x = 96,702,367,192.56
  5. Step 5: Solve for x
    x = 96,702,367,192.56/390,051.60
  6. Step 6: Final answer
    x = 247,921.99

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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.