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Finding the Fourth Proportional to 310,716.78, 466,075.20 and 97,517.59

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Solution

The fourth proportional to 310,716.78, 466,075.20 and 97,517.59 is: 146,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,716.78 : 466,075.20 = 97,517.59 : x
  2. Step 2: Convert to fraction form
    310,716.78/466,075.20 = 97,517.59/x
  3. Step 3: Cross multiply
    310,716.78x = 466,075.20 × 97,517.59
  4. Step 4: Simplify right side
    310,716.78x = 45,450,528,914.73
  5. Step 5: Solve for x
    x = 45,450,528,914.73/310,716.78
  6. Step 6: Final answer
    x = 146,276.39

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1.5x scale

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.