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Finding the Fourth Proportional to 527,695.28, 728,220.09 and 285,977.84

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Solution

The fourth proportional to 527,695.28, 728,220.09 and 285,977.84 is: 394,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,695.28 : 728,220.09 = 285,977.84 : x
  2. Step 2: Convert to fraction form
    527,695.28/728,220.09 = 285,977.84/x
  3. Step 3: Cross multiply
    527,695.28x = 728,220.09 × 285,977.84
  4. Step 4: Simplify right side
    527,695.28x = 208,254,804,741.71
  5. Step 5: Solve for x
    x = 208,254,804,741.71/527,695.28
  6. Step 6: Final answer
    x = 394,649.74

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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.