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Finding the Fourth Proportional to 468,125.20, 700,438.20 and 310,661.20

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Solution

The fourth proportional to 468,125.20, 700,438.20 and 310,661.20 is: 464,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,125.20 : 700,438.20 = 310,661.20 : x
  2. Step 2: Convert to fraction form
    468,125.20/700,438.20 = 310,661.20/x
  3. Step 3: Cross multiply
    468,125.20x = 700,438.20 × 310,661.20
  4. Step 4: Simplify right side
    468,125.20x = 217,598,971,737.84
  5. Step 5: Solve for x
    x = 217,598,971,737.84/468,125.20
  6. Step 6: Final answer
    x = 464,830.72

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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.