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Finding the Fourth Proportional to 310,082.40, 427,908.24 and 174,117.40

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Solution

The fourth proportional to 310,082.40, 427,908.24 and 174,117.40 is: 240,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,082.40 : 427,908.24 = 174,117.40 : x
  2. Step 2: Convert to fraction form
    310,082.40/427,908.24 = 174,117.40/x
  3. Step 3: Cross multiply
    310,082.40x = 427,908.24 × 174,117.40
  4. Step 4: Simplify right side
    310,082.40x = 74,506,270,187.38
  5. Step 5: Solve for x
    x = 74,506,270,187.38/310,082.40
  6. Step 6: Final answer
    x = 240,278.94

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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.