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Finding the Fourth Proportional to 314,282.65, 471,345.87 and 89,645.02

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Solution

The fourth proportional to 314,282.65, 471,345.87 and 89,645.02 is: 134,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,282.65 : 471,345.87 = 89,645.02 : x
  2. Step 2: Convert to fraction form
    314,282.65/471,345.87 = 89,645.02/x
  3. Step 3: Cross multiply
    314,282.65x = 471,345.87 × 89,645.02
  4. Step 4: Simplify right side
    314,282.65x = 42,253,808,596.62
  5. Step 5: Solve for x
    x = 42,253,808,596.62/314,282.65
  6. Step 6: Final answer
    x = 134,445.25

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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.