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Finding the Fourth Proportional to 527,223.42, 790,857 and 153,246.42

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Solution

The fourth proportional to 527,223.42, 790,857 and 153,246.42 is: 229,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,223.42 : 790,857 = 153,246.42 : x
  2. Step 2: Convert to fraction form
    527,223.42/790,857 = 153,246.42/x
  3. Step 3: Cross multiply
    527,223.42x = 790,857 × 153,246.42
  4. Step 4: Simplify right side
    527,223.42x = 121,196,003,981.94
  5. Step 5: Solve for x
    x = 121,196,003,981.94/527,223.42
  6. Step 6: Final answer
    x = 229,875.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.