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Finding the Fourth Proportional to 310,381.32, 465,803.82 and 210,304.20

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Solution

The fourth proportional to 310,381.32, 465,803.82 and 210,304.20 is: 315,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,381.32 : 465,803.82 = 210,304.20 : x
  2. Step 2: Convert to fraction form
    310,381.32/465,803.82 = 210,304.20/x
  3. Step 3: Cross multiply
    310,381.32x = 465,803.82 × 210,304.20
  4. Step 4: Simplify right side
    310,381.32x = 97,960,499,722.04
  5. Step 5: Solve for x
    x = 97,960,499,722.04/310,381.32
  6. Step 6: Final answer
    x = 315,613.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.