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Finding the Fourth Proportional to 349,066.34, 523,433.40 and 159,470.60

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Solution

The fourth proportional to 349,066.34, 523,433.40 and 159,470.60 is: 239,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,066.34 : 523,433.40 = 159,470.60 : x
  2. Step 2: Convert to fraction form
    349,066.34/523,433.40 = 159,470.60/x
  3. Step 3: Cross multiply
    349,066.34x = 523,433.40 × 159,470.60
  4. Step 4: Simplify right side
    349,066.34x = 83,472,238,358.04
  5. Step 5: Solve for x
    x = 83,472,238,358.04/349,066.34
  6. Step 6: Final answer
    x = 239,130.01

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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.