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Finding the Fourth Proportional to 471,002.30, 706,546.65 and 155,459.90

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Solution

The fourth proportional to 471,002.30, 706,546.65 and 155,459.90 is: 233,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,002.30 : 706,546.65 = 155,459.90 : x
  2. Step 2: Convert to fraction form
    471,002.30/706,546.65 = 155,459.90/x
  3. Step 3: Cross multiply
    471,002.30x = 706,546.65 × 155,459.90
  4. Step 4: Simplify right side
    471,002.30x = 109,839,671,554.34
  5. Step 5: Solve for x
    x = 109,839,671,554.34/471,002.30
  6. Step 6: Final answer
    x = 233,204.11

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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.