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Finding the Fourth Proportional to 468,166.20, 700,499.70 and 310,702.20

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Solution

The fourth proportional to 468,166.20, 700,499.70 and 310,702.20 is: 464,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,166.20 : 700,499.70 = 310,702.20 : x
  2. Step 2: Convert to fraction form
    468,166.20/700,499.70 = 310,702.20/x
  3. Step 3: Cross multiply
    468,166.20x = 700,499.70 × 310,702.20
  4. Step 4: Simplify right side
    468,166.20x = 217,646,797,889.34
  5. Step 5: Solve for x
    x = 217,646,797,889.34/468,166.20
  6. Step 6: Final answer
    x = 464,892.16

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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.