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Finding the Fourth Proportional to 519,120, 715,736.52 and 433,202.76

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Solution

The fourth proportional to 519,120, 715,736.52 and 433,202.76 is: 597,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,120 : 715,736.52 = 433,202.76 : x
  2. Step 2: Convert to fraction form
    519,120/715,736.52 = 433,202.76/x
  3. Step 3: Cross multiply
    519,120x = 715,736.52 × 433,202.76
  4. Step 4: Simplify right side
    519,120x = 310,059,035,896.80
  5. Step 5: Solve for x
    x = 310,059,035,896.80/519,120
  6. Step 6: Final answer
    x = 597,278.16

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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.