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Finding the Fourth Proportional to 473,442.90, 709,559.55 and 192,642.90

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Solution

The fourth proportional to 473,442.90, 709,559.55 and 192,642.90 is: 288,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,442.90 : 709,559.55 = 192,642.90 : x
  2. Step 2: Convert to fraction form
    473,442.90/709,559.55 = 192,642.90/x
  3. Step 3: Cross multiply
    473,442.90x = 709,559.55 × 192,642.90
  4. Step 4: Simplify right side
    473,442.90x = 136,691,609,434.70
  5. Step 5: Solve for x
    x = 136,691,609,434.70/473,442.90
  6. Step 6: Final answer
    x = 288,718.26

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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.