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Finding the Fourth Proportional to 297,522.48, 410,580.72 and 163,386.48

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Solution

The fourth proportional to 297,522.48, 410,580.72 and 163,386.48 is: 225,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,522.48 : 410,580.72 = 163,386.48 : x
  2. Step 2: Convert to fraction form
    297,522.48/410,580.72 = 163,386.48/x
  3. Step 3: Cross multiply
    297,522.48x = 410,580.72 × 163,386.48
  4. Step 4: Simplify right side
    297,522.48x = 67,083,338,596.67
  5. Step 5: Solve for x
    x = 67,083,338,596.67/297,522.48
  6. Step 6: Final answer
    x = 225,473.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.