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Finding the Fourth Proportional to 468,643.20, 702,964.80 and 113,656.65

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Solution

The fourth proportional to 468,643.20, 702,964.80 and 113,656.65 is: 170,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.20 : 702,964.80 = 113,656.65 : x
  2. Step 2: Convert to fraction form
    468,643.20/702,964.80 = 113,656.65/x
  3. Step 3: Cross multiply
    468,643.20x = 702,964.80 × 113,656.65
  4. Step 4: Simplify right side
    468,643.20x = 79,896,624,235.92
  5. Step 5: Solve for x
    x = 79,896,624,235.92/468,643.20
  6. Step 6: Final answer
    x = 170,484.98

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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.