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Finding the Fourth Proportional to 390,456.48, 585,830.46 and 153,964.02

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Solution

The fourth proportional to 390,456.48, 585,830.46 and 153,964.02 is: 231,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,456.48 : 585,830.46 = 153,964.02 : x
  2. Step 2: Convert to fraction form
    390,456.48/585,830.46 = 153,964.02/x
  3. Step 3: Cross multiply
    390,456.48x = 585,830.46 × 153,964.02
  4. Step 4: Simplify right side
    390,456.48x = 90,196,812,660.05
  5. Step 5: Solve for x
    x = 90,196,812,660.05/390,456.48
  6. Step 6: Final answer
    x = 231,003.50

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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.