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Finding the Fourth Proportional to 310,941.56, 466,424.40 and 97,854.80

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Solution

The fourth proportional to 310,941.56, 466,424.40 and 97,854.80 is: 146,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,941.56 : 466,424.40 = 97,854.80 : x
  2. Step 2: Convert to fraction form
    310,941.56/466,424.40 = 97,854.80/x
  3. Step 3: Cross multiply
    310,941.56x = 466,424.40 × 97,854.80
  4. Step 4: Simplify right side
    310,941.56x = 45,641,866,377.12
  5. Step 5: Solve for x
    x = 45,641,866,377.12/310,941.56
  6. Step 6: Final answer
    x = 146,786.00

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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.