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Finding the Fourth Proportional to 310,836.89, 466,241.47 and 97,599.74

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Solution

The fourth proportional to 310,836.89, 466,241.47 and 97,599.74 is: 146,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,836.89 : 466,241.47 = 97,599.74 : x
  2. Step 2: Convert to fraction form
    310,836.89/466,241.47 = 97,599.74/x
  3. Step 3: Cross multiply
    310,836.89x = 466,241.47 × 97,599.74
  4. Step 4: Simplify right side
    310,836.89x = 45,505,043,674.01
  5. Step 5: Solve for x
    x = 45,505,043,674.01/310,836.89
  6. Step 6: Final answer
    x = 146,395.25

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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.