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Finding the Fourth Proportional to 527,502.66, 727,953.84 and 285,786.90

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Solution

The fourth proportional to 527,502.66, 727,953.84 and 285,786.90 is: 394,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,502.66 : 727,953.84 = 285,786.90 : x
  2. Step 2: Convert to fraction form
    527,502.66/727,953.84 = 285,786.90/x
  3. Step 3: Cross multiply
    527,502.66x = 727,953.84 × 285,786.90
  4. Step 4: Simplify right side
    527,502.66x = 208,039,671,276.70
  5. Step 5: Solve for x
    x = 208,039,671,276.70/527,502.66
  6. Step 6: Final answer
    x = 394,386.01

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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.