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Finding the Fourth Proportional to 415,506.24, 573,123.36 and 256,253.76

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Solution

The fourth proportional to 415,506.24, 573,123.36 and 256,253.76 is: 353,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,506.24 : 573,123.36 = 256,253.76 : x
  2. Step 2: Convert to fraction form
    415,506.24/573,123.36 = 256,253.76/x
  3. Step 3: Cross multiply
    415,506.24x = 573,123.36 × 256,253.76
  4. Step 4: Simplify right side
    415,506.24x = 146,865,015,943.83
  5. Step 5: Solve for x
    x = 146,865,015,943.83/415,506.24
  6. Step 6: Final answer
    x = 353,460.43

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1.5x scale

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.