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Finding the Fourth Proportional to 309,931.20, 464,896.80 and 209,547.90

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Solution

The fourth proportional to 309,931.20, 464,896.80 and 209,547.90 is: 314,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,931.20 : 464,896.80 = 209,547.90 : x
  2. Step 2: Convert to fraction form
    309,931.20/464,896.80 = 209,547.90/x
  3. Step 3: Cross multiply
    309,931.20x = 464,896.80 × 209,547.90
  4. Step 4: Simplify right side
    309,931.20x = 97,418,148,156.72
  5. Step 5: Solve for x
    x = 97,418,148,156.72/309,931.20
  6. Step 6: Final answer
    x = 314,321.85

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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.