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Finding the Fourth Proportional to 390,081.60, 584,798.40 and 165,614.40

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Solution

The fourth proportional to 390,081.60, 584,798.40 and 165,614.40 is: 248,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,081.60 : 584,798.40 = 165,614.40 : x
  2. Step 2: Convert to fraction form
    390,081.60/584,798.40 = 165,614.40/x
  3. Step 3: Cross multiply
    390,081.60x = 584,798.40 × 165,614.40
  4. Step 4: Simplify right side
    390,081.60x = 96,851,036,136.96
  5. Step 5: Solve for x
    x = 96,851,036,136.96/390,081.60
  6. Step 6: Final answer
    x = 248,284.04

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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.