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Finding the Fourth Proportional to 517,430.70, 776,275.25 and 180,476.19

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Solution

The fourth proportional to 517,430.70, 776,275.25 and 180,476.19 is: 270,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,430.70 : 776,275.25 = 180,476.19 : x
  2. Step 2: Convert to fraction form
    517,430.70/776,275.25 = 180,476.19/x
  3. Step 3: Cross multiply
    517,430.70x = 776,275.25 × 180,476.19
  4. Step 4: Simplify right side
    517,430.70x = 140,099,198,608.92
  5. Step 5: Solve for x
    x = 140,099,198,608.92/517,430.70
  6. Step 6: Final answer
    x = 270,759.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.