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Finding the Fourth Proportional to 537,158.16, 741,299.40 and 295,463.23

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Solution

The fourth proportional to 537,158.16, 741,299.40 and 295,463.23 is: 407,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,158.16 : 741,299.40 = 295,463.23 : x
  2. Step 2: Convert to fraction form
    537,158.16/741,299.40 = 295,463.23/x
  3. Step 3: Cross multiply
    537,158.16x = 741,299.40 × 295,463.23
  4. Step 4: Simplify right side
    537,158.16x = 219,026,713,267.81
  5. Step 5: Solve for x
    x = 219,026,713,267.81/537,158.16
  6. Step 6: Final answer
    x = 407,750.88

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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.