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Finding the Fourth Proportional to 462,870.23, 694,125.84 and 159,206.65

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Solution

The fourth proportional to 462,870.23, 694,125.84 and 159,206.65 is: 238,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,870.23 : 694,125.84 = 159,206.65 : x
  2. Step 2: Convert to fraction form
    462,870.23/694,125.84 = 159,206.65/x
  3. Step 3: Cross multiply
    462,870.23x = 694,125.84 × 159,206.65
  4. Step 4: Simplify right side
    462,870.23x = 110,509,448,526.55
  5. Step 5: Solve for x
    x = 110,509,448,526.55/462,870.23
  6. Step 6: Final answer
    x = 238,748.23

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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.