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Finding the Fourth Proportional to 527,814.16, 728,385.09 and 286,097.69

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Solution

The fourth proportional to 527,814.16, 728,385.09 and 286,097.69 is: 394,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,814.16 : 728,385.09 = 286,097.69 : x
  2. Step 2: Convert to fraction form
    527,814.16/728,385.09 = 286,097.69/x
  3. Step 3: Cross multiply
    527,814.16x = 728,385.09 × 286,097.69
  4. Step 4: Simplify right side
    527,814.16x = 208,389,291,679.44
  5. Step 5: Solve for x
    x = 208,389,291,679.44/527,814.16
  6. Step 6: Final answer
    x = 394,815.65

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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.