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Finding the Fourth Proportional to 288,566.90, 432,850.35 and 164,150.90

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Solution

The fourth proportional to 288,566.90, 432,850.35 and 164,150.90 is: 246,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,566.90 : 432,850.35 = 164,150.90 : x
  2. Step 2: Convert to fraction form
    288,566.90/432,850.35 = 164,150.90/x
  3. Step 3: Cross multiply
    288,566.90x = 432,850.35 × 164,150.90
  4. Step 4: Simplify right side
    288,566.90x = 71,052,774,517.82
  5. Step 5: Solve for x
    x = 71,052,774,517.82/288,566.90
  6. Step 6: Final answer
    x = 246,226.35

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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.