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Finding the Fourth Proportional to 340,909.50, 511,438.08 and 130,547.46

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Solution

The fourth proportional to 340,909.50, 511,438.08 and 130,547.46 is: 195,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,909.50 : 511,438.08 = 130,547.46 : x
  2. Step 2: Convert to fraction form
    340,909.50/511,438.08 = 130,547.46/x
  3. Step 3: Cross multiply
    340,909.50x = 511,438.08 × 130,547.46
  4. Step 4: Simplify right side
    340,909.50x = 66,766,942,291.28
  5. Step 5: Solve for x
    x = 66,766,942,291.28/340,909.50
  6. Step 6: Final answer
    x = 195,849.46

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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.