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Finding the Fourth Proportional to 668,164, 1,002,304.41 and 169,528

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Solution

The fourth proportional to 668,164, 1,002,304.41 and 169,528 is: 254,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,164 : 1,002,304.41 = 169,528 : x
  2. Step 2: Convert to fraction form
    668,164/1,002,304.41 = 169,528/x
  3. Step 3: Cross multiply
    668,164x = 1,002,304.41 × 169,528
  4. Step 4: Simplify right side
    668,164x = 169,918,662,018.48
  5. Step 5: Solve for x
    x = 169,918,662,018.48/668,164
  6. Step 6: Final answer
    x = 254,306.82

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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.