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Finding the Fourth Proportional to 475,266.18, 711,980.61 and 264,264.42

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Solution

The fourth proportional to 475,266.18, 711,980.61 and 264,264.42 is: 395,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,266.18 : 711,980.61 = 264,264.42 : x
  2. Step 2: Convert to fraction form
    475,266.18/711,980.61 = 264,264.42/x
  3. Step 3: Cross multiply
    475,266.18x = 711,980.61 × 264,264.42
  4. Step 4: Simplify right side
    475,266.18x = 188,151,142,952.90
  5. Step 5: Solve for x
    x = 188,151,142,952.90/475,266.18
  6. Step 6: Final answer
    x = 395,885.82

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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.