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Finding the Fourth Proportional to 569,144.28, 785,434.95 and 314,511.87

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Solution

The fourth proportional to 569,144.28, 785,434.95 and 314,511.87 is: 434,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,144.28 : 785,434.95 = 314,511.87 : x
  2. Step 2: Convert to fraction form
    569,144.28/785,434.95 = 314,511.87/x
  3. Step 3: Cross multiply
    569,144.28x = 785,434.95 × 314,511.87
  4. Step 4: Simplify right side
    569,144.28x = 247,028,614,887.86
  5. Step 5: Solve for x
    x = 247,028,614,887.86/569,144.28
  6. Step 6: Final answer
    x = 434,035.14

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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.