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Finding the Fourth Proportional to 471,048.16, 706,502.56 and 155,507.80

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Solution

The fourth proportional to 471,048.16, 706,502.56 and 155,507.80 is: 233,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,048.16 : 706,502.56 = 155,507.80 : x
  2. Step 2: Convert to fraction form
    471,048.16/706,502.56 = 155,507.80/x
  3. Step 3: Cross multiply
    471,048.16x = 706,502.56 × 155,507.80
  4. Step 4: Simplify right side
    471,048.16x = 109,866,658,799.97
  5. Step 5: Solve for x
    x = 109,866,658,799.97/471,048.16
  6. Step 6: Final answer
    x = 233,238.70

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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.