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Finding the Fourth Proportional to 560,092.85, 772,988.07 and 342,429.24

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Solution

The fourth proportional to 560,092.85, 772,988.07 and 342,429.24 is: 472,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,092.85 : 772,988.07 = 342,429.24 : x
  2. Step 2: Convert to fraction form
    560,092.85/772,988.07 = 342,429.24/x
  3. Step 3: Cross multiply
    560,092.85x = 772,988.07 × 342,429.24
  4. Step 4: Simplify right side
    560,092.85x = 264,693,717,339.17
  5. Step 5: Solve for x
    x = 264,693,717,339.17/560,092.85
  6. Step 6: Final answer
    x = 472,589.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.