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Finding the Fourth Proportional to 314,118.79, 471,172.10 and 89,480.68

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Solution

The fourth proportional to 314,118.79, 471,172.10 and 89,480.68 is: 134,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,118.79 : 471,172.10 = 89,480.68 : x
  2. Step 2: Convert to fraction form
    314,118.79/471,172.10 = 89,480.68/x
  3. Step 3: Cross multiply
    314,118.79x = 471,172.10 × 89,480.68
  4. Step 4: Simplify right side
    314,118.79x = 42,160,798,950.80
  5. Step 5: Solve for x
    x = 42,160,798,950.80/314,118.79
  6. Step 6: Final answer
    x = 134,219.28

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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.