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Finding the Fourth Proportional to 527,956.90, 728,578.22 and 286,238.72

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Solution

The fourth proportional to 527,956.90, 728,578.22 and 286,238.72 is: 395,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,956.90 : 728,578.22 = 286,238.72 : x
  2. Step 2: Convert to fraction form
    527,956.90/728,578.22 = 286,238.72/x
  3. Step 3: Cross multiply
    527,956.90x = 728,578.22 × 286,238.72
  4. Step 4: Simplify right side
    527,956.90x = 208,547,297,112.68
  5. Step 5: Solve for x
    x = 208,547,297,112.68/527,956.90
  6. Step 6: Final answer
    x = 395,008.19

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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.