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Finding the Fourth Proportional to 310,459.42, 465,737.46 and 100,118.62

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Solution

The fourth proportional to 310,459.42, 465,737.46 and 100,118.62 is: 150,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,459.42 : 465,737.46 = 100,118.62 : x
  2. Step 2: Convert to fraction form
    310,459.42/465,737.46 = 100,118.62/x
  3. Step 3: Cross multiply
    310,459.42x = 465,737.46 × 100,118.62
  4. Step 4: Simplify right side
    310,459.42x = 46,628,991,777.51
  5. Step 5: Solve for x
    x = 46,628,991,777.51/310,459.42
  6. Step 6: Final answer
    x = 150,193.52

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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.