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Finding the Fourth Proportional to 514,056.16, 709,430.16 and 287,774.56

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Solution

The fourth proportional to 514,056.16, 709,430.16 and 287,774.56 is: 397,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,056.16 : 709,430.16 = 287,774.56 : x
  2. Step 2: Convert to fraction form
    514,056.16/709,430.16 = 287,774.56/x
  3. Step 3: Cross multiply
    514,056.16x = 709,430.16 × 287,774.56
  4. Step 4: Simplify right side
    514,056.16x = 204,155,952,144.73
  5. Step 5: Solve for x
    x = 204,155,952,144.73/514,056.16
  6. Step 6: Final answer
    x = 397,147.18

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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.