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Finding the Fourth Proportional to 310,320.40, 465,480.60 and 289,325.20

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Solution

The fourth proportional to 310,320.40, 465,480.60 and 289,325.20 is: 433,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,320.40 : 465,480.60 = 289,325.20 : x
  2. Step 2: Convert to fraction form
    310,320.40/465,480.60 = 289,325.20/x
  3. Step 3: Cross multiply
    310,320.40x = 465,480.60 × 289,325.20
  4. Step 4: Simplify right side
    310,320.40x = 134,675,267,691.12
  5. Step 5: Solve for x
    x = 134,675,267,691.12/310,320.40
  6. Step 6: Final answer
    x = 433,987.80

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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.