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Finding the Fourth Proportional to 456,853.55, 685,435.99 and 137,013.17

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Solution

The fourth proportional to 456,853.55, 685,435.99 and 137,013.17 is: 205,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,853.55 : 685,435.99 = 137,013.17 : x
  2. Step 2: Convert to fraction form
    456,853.55/685,435.99 = 137,013.17/x
  3. Step 3: Cross multiply
    456,853.55x = 685,435.99 × 137,013.17
  4. Step 4: Simplify right side
    456,853.55x = 93,913,754,394.81
  5. Step 5: Solve for x
    x = 93,913,754,394.81/456,853.55
  6. Step 6: Final answer
    x = 205,566.43

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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.