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Finding the Fourth Proportional to 468,166.30, 701,061.45 and 257,566.30

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Solution

The fourth proportional to 468,166.30, 701,061.45 and 257,566.30 is: 385,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,166.30 : 701,061.45 = 257,566.30 : x
  2. Step 2: Convert to fraction form
    468,166.30/701,061.45 = 257,566.30/x
  3. Step 3: Cross multiply
    468,166.30x = 701,061.45 × 257,566.30
  4. Step 4: Simplify right side
    468,166.30x = 180,569,803,749.14
  5. Step 5: Solve for x
    x = 180,569,803,749.14/468,166.30
  6. Step 6: Final answer
    x = 385,695.86

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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.