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Finding the Fourth Proportional to 302,807.62, 417,907.20 and 166,855.24

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Solution

The fourth proportional to 302,807.62, 417,907.20 and 166,855.24 is: 230,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,807.62 : 417,907.20 = 166,855.24 : x
  2. Step 2: Convert to fraction form
    302,807.62/417,907.20 = 166,855.24/x
  3. Step 3: Cross multiply
    302,807.62x = 417,907.20 × 166,855.24
  4. Step 4: Simplify right side
    302,807.62x = 69,730,006,153.73
  5. Step 5: Solve for x
    x = 69,730,006,153.73/302,807.62
  6. Step 6: Final answer
    x = 230,278.24

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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.