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Finding the Fourth Proportional to 417,652.78, 576,361.30 and 226,666.30

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Solution

The fourth proportional to 417,652.78, 576,361.30 and 226,666.30 is: 312,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,652.78 : 576,361.30 = 226,666.30 : x
  2. Step 2: Convert to fraction form
    417,652.78/576,361.30 = 226,666.30/x
  3. Step 3: Cross multiply
    417,652.78x = 576,361.30 × 226,666.30
  4. Step 4: Simplify right side
    417,652.78x = 130,641,683,334.19
  5. Step 5: Solve for x
    x = 130,641,683,334.19/417,652.78
  6. Step 6: Final answer
    x = 312,799.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.