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Finding the Fourth Proportional to 475,254.43, 712,807.11 and 155,404.06

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Solution

The fourth proportional to 475,254.43, 712,807.11 and 155,404.06 is: 233,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,254.43 : 712,807.11 = 155,404.06 : x
  2. Step 2: Convert to fraction form
    475,254.43/712,807.11 = 155,404.06/x
  3. Step 3: Cross multiply
    475,254.43x = 712,807.11 × 155,404.06
  4. Step 4: Simplify right side
    475,254.43x = 110,773,117,108.85
  5. Step 5: Solve for x
    x = 110,773,117,108.85/475,254.43
  6. Step 6: Final answer
    x = 233,081.72

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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.