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Finding the Fourth Proportional to 527,813.16, 728,383.71 and 286,096.69

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Solution

The fourth proportional to 527,813.16, 728,383.71 and 286,096.69 is: 394,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,813.16 : 728,383.71 = 286,096.69 : x
  2. Step 2: Convert to fraction form
    527,813.16/728,383.71 = 286,096.69/x
  3. Step 3: Cross multiply
    527,813.16x = 728,383.71 × 286,096.69
  4. Step 4: Simplify right side
    527,813.16x = 208,388,168,480.92
  5. Step 5: Solve for x
    x = 208,388,168,480.92/527,813.16
  6. Step 6: Final answer
    x = 394,814.27

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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.