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Finding the Fourth Proportional to 537,115.14, 741,237.51 and 295,416

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Solution

The fourth proportional to 537,115.14, 741,237.51 and 295,416 is: 407,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,115.14 : 741,237.51 = 295,416 : x
  2. Step 2: Convert to fraction form
    537,115.14/741,237.51 = 295,416/x
  3. Step 3: Cross multiply
    537,115.14x = 741,237.51 × 295,416
  4. Step 4: Simplify right side
    537,115.14x = 218,973,420,254.16
  5. Step 5: Solve for x
    x = 218,973,420,254.16/537,115.14
  6. Step 6: Final answer
    x = 407,684.32

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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.