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Finding the Fourth Proportional to 514,054.20, 709,394.70 and 287,699.70

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Solution

The fourth proportional to 514,054.20, 709,394.70 and 287,699.70 is: 397,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,054.20 : 709,394.70 = 287,699.70 : x
  2. Step 2: Convert to fraction form
    514,054.20/709,394.70 = 287,699.70/x
  3. Step 3: Cross multiply
    514,054.20x = 709,394.70 × 287,699.70
  4. Step 4: Simplify right side
    514,054.20x = 204,092,642,371.59
  5. Step 5: Solve for x
    x = 204,092,642,371.59/514,054.20
  6. Step 6: Final answer
    x = 397,025.53

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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.