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Finding the Fourth Proportional to 517,811.24, 714,573.76 and 288,363.52

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Solution

The fourth proportional to 517,811.24, 714,573.76 and 288,363.52 is: 397,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,811.24 : 714,573.76 = 288,363.52 : x
  2. Step 2: Convert to fraction form
    517,811.24/714,573.76 = 288,363.52/x
  3. Step 3: Cross multiply
    517,811.24x = 714,573.76 × 288,363.52
  4. Step 4: Simplify right side
    517,811.24x = 206,057,003,291.42
  5. Step 5: Solve for x
    x = 206,057,003,291.42/517,811.24
  6. Step 6: Final answer
    x = 397,938.45

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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.