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Finding the Fourth Proportional to 537,002.53, 741,038.12 and 295,295.29

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Solution

The fourth proportional to 537,002.53, 741,038.12 and 295,295.29 is: 407,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,002.53 : 741,038.12 = 295,295.29 : x
  2. Step 2: Convert to fraction form
    537,002.53/741,038.12 = 295,295.29/x
  3. Step 3: Cross multiply
    537,002.53x = 741,038.12 × 295,295.29
  4. Step 4: Simplify right side
    537,002.53x = 218,825,064,324.74
  5. Step 5: Solve for x
    x = 218,825,064,324.74/537,002.53
  6. Step 6: Final answer
    x = 407,493.55

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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.