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Finding the Fourth Proportional to 537,034.86, 741,113.55 and 295,319.22

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Solution

The fourth proportional to 537,034.86, 741,113.55 and 295,319.22 is: 407,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,034.86 : 741,113.55 = 295,319.22 : x
  2. Step 2: Convert to fraction form
    537,034.86/741,113.55 = 295,319.22/x
  3. Step 3: Cross multiply
    537,034.86x = 741,113.55 × 295,319.22
  4. Step 4: Simplify right side
    537,034.86x = 218,865,072,738.26
  5. Step 5: Solve for x
    x = 218,865,072,738.26/537,034.86
  6. Step 6: Final answer
    x = 407,543.51

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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.