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Finding the Fourth Proportional to 314,304, 471,470.64 and 89,679.84

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Solution

The fourth proportional to 314,304, 471,470.64 and 89,679.84 is: 134,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,304 : 471,470.64 = 89,679.84 : x
  2. Step 2: Convert to fraction form
    314,304/471,470.64 = 89,679.84/x
  3. Step 3: Cross multiply
    314,304x = 471,470.64 × 89,679.84
  4. Step 4: Simplify right side
    314,304x = 42,281,411,559.90
  5. Step 5: Solve for x
    x = 42,281,411,559.90/314,304
  6. Step 6: Final answer
    x = 134,523.94

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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.