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Finding the Fourth Proportional to 309,330.40, 463,412.40 and 159,059.20

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Solution

The fourth proportional to 309,330.40, 463,412.40 and 159,059.20 is: 238,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,330.40 : 463,412.40 = 159,059.20 : x
  2. Step 2: Convert to fraction form
    309,330.40/463,412.40 = 159,059.20/x
  3. Step 3: Cross multiply
    309,330.40x = 463,412.40 × 159,059.20
  4. Step 4: Simplify right side
    309,330.40x = 73,710,005,614.08
  5. Step 5: Solve for x
    x = 73,710,005,614.08/309,330.40
  6. Step 6: Final answer
    x = 238,288.92

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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.