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Finding the Fourth Proportional to 334,130.40, 501,251.76 and 165,659.04

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Solution

The fourth proportional to 334,130.40, 501,251.76 and 165,659.04 is: 248,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,130.40 : 501,251.76 = 165,659.04 : x
  2. Step 2: Convert to fraction form
    334,130.40/501,251.76 = 165,659.04/x
  3. Step 3: Cross multiply
    334,130.40x = 501,251.76 × 165,659.04
  4. Step 4: Simplify right side
    334,130.40x = 83,036,885,359.91
  5. Step 5: Solve for x
    x = 83,036,885,359.91/334,130.40
  6. Step 6: Final answer
    x = 248,516.40

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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.