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Finding the Fourth Proportional to 314,312.49, 471,476.07 and 89,693.01

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Solution

The fourth proportional to 314,312.49, 471,476.07 and 89,693.01 is: 134,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,312.49 : 471,476.07 = 89,693.01 : x
  2. Step 2: Convert to fraction form
    314,312.49/471,476.07 = 89,693.01/x
  3. Step 3: Cross multiply
    314,312.49x = 471,476.07 × 89,693.01
  4. Step 4: Simplify right side
    314,312.49x = 42,288,107,861.27
  5. Step 5: Solve for x
    x = 42,288,107,861.27/314,312.49
  6. Step 6: Final answer
    x = 134,541.61

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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.