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Finding the Fourth Proportional to 310,151.61, 464,415.46 and 203,199.10

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Solution

The fourth proportional to 310,151.61, 464,415.46 and 203,199.10 is: 304,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,151.61 : 464,415.46 = 203,199.10 : x
  2. Step 2: Convert to fraction form
    310,151.61/464,415.46 = 203,199.10/x
  3. Step 3: Cross multiply
    310,151.61x = 464,415.46 × 203,199.10
  4. Step 4: Simplify right side
    310,151.61x = 94,368,801,829.05
  5. Step 5: Solve for x
    x = 94,368,801,829.05/310,151.61
  6. Step 6: Final answer
    x = 304,266.68

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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.