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Finding the Fourth Proportional to 471,046.24, 706,602.30 and 155,725.12

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Solution

The fourth proportional to 471,046.24, 706,602.30 and 155,725.12 is: 233,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,046.24 : 706,602.30 = 155,725.12 : x
  2. Step 2: Convert to fraction form
    471,046.24/706,602.30 = 155,725.12/x
  3. Step 3: Cross multiply
    471,046.24x = 706,602.30 × 155,725.12
  4. Step 4: Simplify right side
    471,046.24x = 110,035,727,959.78
  5. Step 5: Solve for x
    x = 110,035,727,959.78/471,046.24
  6. Step 6: Final answer
    x = 233,598.57

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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.