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Finding the Fourth Proportional to 702,753.50, 1,054,159.42 and 204,117.50

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Solution

The fourth proportional to 702,753.50, 1,054,159.42 and 204,117.50 is: 306,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,753.50 : 1,054,159.42 = 204,117.50 : x
  2. Step 2: Convert to fraction form
    702,753.50/1,054,159.42 = 204,117.50/x
  3. Step 3: Cross multiply
    702,753.50x = 1,054,159.42 × 204,117.50
  4. Step 4: Simplify right side
    702,753.50x = 215,172,385,411.85
  5. Step 5: Solve for x
    x = 215,172,385,411.85/702,753.50
  6. Step 6: Final answer
    x = 306,184.72

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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.