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Finding the Fourth Proportional to 527,812.91, 728,383.37 and 286,096.44

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Solution

The fourth proportional to 527,812.91, 728,383.37 and 286,096.44 is: 394,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,812.91 : 728,383.37 = 286,096.44 : x
  2. Step 2: Convert to fraction form
    527,812.91/728,383.37 = 286,096.44/x
  3. Step 3: Cross multiply
    527,812.91x = 728,383.37 × 286,096.44
  4. Step 4: Simplify right side
    527,812.91x = 208,387,887,681.72
  5. Step 5: Solve for x
    x = 208,387,887,681.72/527,812.91
  6. Step 6: Final answer
    x = 394,813.93

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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.