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Finding the Fourth Proportional to 560,093.85, 772,989.45 and 342,430.24

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Solution

The fourth proportional to 560,093.85, 772,989.45 and 342,430.24 is: 472,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,093.85 : 772,989.45 = 342,430.24 : x
  2. Step 2: Convert to fraction form
    560,093.85/772,989.45 = 342,430.24/x
  3. Step 3: Cross multiply
    560,093.85x = 772,989.45 × 342,430.24
  4. Step 4: Simplify right side
    560,093.85x = 264,694,962,880.97
  5. Step 5: Solve for x
    x = 264,694,962,880.97/560,093.85
  6. Step 6: Final answer
    x = 472,590.38

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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.