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Finding the Fourth Proportional to 569,156.24, 785,367.24 and 314,472.56

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Solution

The fourth proportional to 569,156.24, 785,367.24 and 314,472.56 is: 433,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,156.24 : 785,367.24 = 314,472.56 : x
  2. Step 2: Convert to fraction form
    569,156.24/785,367.24 = 314,472.56/x
  3. Step 3: Cross multiply
    569,156.24x = 785,367.24 × 314,472.56
  4. Step 4: Simplify right side
    569,156.24x = 246,976,446,502.93
  5. Step 5: Solve for x
    x = 246,976,446,502.93/569,156.24
  6. Step 6: Final answer
    x = 433,934.36

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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.