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Finding the Fourth Proportional to 497,988, 746,988.48 and 165,564

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Solution

The fourth proportional to 497,988, 746,988.48 and 165,564 is: 248,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,988 : 746,988.48 = 165,564 : x
  2. Step 2: Convert to fraction form
    497,988/746,988.48 = 165,564/x
  3. Step 3: Cross multiply
    497,988x = 746,988.48 × 165,564
  4. Step 4: Simplify right side
    497,988x = 123,674,400,702.72
  5. Step 5: Solve for x
    x = 123,674,400,702.72/497,988
  6. Step 6: Final answer
    x = 248,348.15

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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.