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Finding the Fourth Proportional to 310,949.56, 466,436.40 and 97,862.80

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Solution

The fourth proportional to 310,949.56, 466,436.40 and 97,862.80 is: 146,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,949.56 : 466,436.40 = 97,862.80 : x
  2. Step 2: Convert to fraction form
    310,949.56/466,436.40 = 97,862.80/x
  3. Step 3: Cross multiply
    310,949.56x = 466,436.40 × 97,862.80
  4. Step 4: Simplify right side
    310,949.56x = 45,646,772,125.92
  5. Step 5: Solve for x
    x = 45,646,772,125.92/310,949.56
  6. Step 6: Final answer
    x = 146,798.00

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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.