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Finding the Fourth Proportional to 297,386.61, 409,356.32 and 256,679.87

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Solution

The fourth proportional to 297,386.61, 409,356.32 and 256,679.87 is: 353,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,386.61 : 409,356.32 = 256,679.87 : x
  2. Step 2: Convert to fraction form
    297,386.61/409,356.32 = 256,679.87/x
  3. Step 3: Cross multiply
    297,386.61x = 409,356.32 × 256,679.87
  4. Step 4: Simplify right side
    297,386.61x = 105,073,527,001.28
  5. Step 5: Solve for x
    x = 105,073,527,001.28/297,386.61
  6. Step 6: Final answer
    x = 353,323.00

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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.