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Finding the Fourth Proportional to 527,454, 727,883.60 and 285,741.29

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Solution

The fourth proportional to 527,454, 727,883.60 and 285,741.29 is: 394,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,454 : 727,883.60 = 285,741.29 : x
  2. Step 2: Convert to fraction form
    527,454/727,883.60 = 285,741.29/x
  3. Step 3: Cross multiply
    527,454x = 727,883.60 × 285,741.29
  4. Step 4: Simplify right side
    527,454x = 207,986,399,224.85
  5. Step 5: Solve for x
    x = 207,986,399,224.85/527,454
  6. Step 6: Final answer
    x = 394,321.40

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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.