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Finding the Fourth Proportional to 306,934.16, 460,440.12 and 85,318.16

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Solution

The fourth proportional to 306,934.16, 460,440.12 and 85,318.16 is: 127,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,934.16 : 460,440.12 = 85,318.16 : x
  2. Step 2: Convert to fraction form
    306,934.16/460,440.12 = 85,318.16/x
  3. Step 3: Cross multiply
    306,934.16x = 460,440.12 × 85,318.16
  4. Step 4: Simplify right side
    306,934.16x = 39,283,903,828.58
  5. Step 5: Solve for x
    x = 39,283,903,828.58/306,934.16
  6. Step 6: Final answer
    x = 127,988.05

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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.