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Finding the Fourth Proportional to 503,256.24, 694,512.72 and 288,437.76

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Solution

The fourth proportional to 503,256.24, 694,512.72 and 288,437.76 is: 398,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,256.24 : 694,512.72 = 288,437.76 : x
  2. Step 2: Convert to fraction form
    503,256.24/694,512.72 = 288,437.76/x
  3. Step 3: Cross multiply
    503,256.24x = 694,512.72 × 288,437.76
  4. Step 4: Simplify right side
    503,256.24x = 200,323,693,248.31
  5. Step 5: Solve for x
    x = 200,323,693,248.31/503,256.24
  6. Step 6: Final answer
    x = 398,055.06

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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.