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Finding the Fourth Proportional to 537,082.32, 741,153.64 and 295,362.40

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Solution

The fourth proportional to 537,082.32, 741,153.64 and 295,362.40 is: 407,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,082.32 : 741,153.64 = 295,362.40 : x
  2. Step 2: Convert to fraction form
    537,082.32/741,153.64 = 295,362.40/x
  3. Step 3: Cross multiply
    537,082.32x = 741,153.64 × 295,362.40
  4. Step 4: Simplify right side
    537,082.32x = 218,908,917,879.14
  5. Step 5: Solve for x
    x = 218,908,917,879.14/537,082.32
  6. Step 6: Final answer
    x = 407,589.13

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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.