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Finding the Fourth Proportional to 480,908.40, 663,534.36 and 310,938

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Solution

The fourth proportional to 480,908.40, 663,534.36 and 310,938 is: 429,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,908.40 : 663,534.36 = 310,938 : x
  2. Step 2: Convert to fraction form
    480,908.40/663,534.36 = 310,938/x
  3. Step 3: Cross multiply
    480,908.40x = 663,534.36 × 310,938
  4. Step 4: Simplify right side
    480,908.40x = 206,318,046,829.68
  5. Step 5: Solve for x
    x = 206,318,046,829.68/480,908.40
  6. Step 6: Final answer
    x = 429,017.35

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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.