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Finding the Fourth Proportional to 461,965.32, 692,972.42 and 146,446.84

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Solution

The fourth proportional to 461,965.32, 692,972.42 and 146,446.84 is: 219,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,965.32 : 692,972.42 = 146,446.84 : x
  2. Step 2: Convert to fraction form
    461,965.32/692,972.42 = 146,446.84/x
  3. Step 3: Cross multiply
    461,965.32x = 692,972.42 × 146,446.84
  4. Step 4: Simplify right side
    461,965.32x = 101,483,621,116.15
  5. Step 5: Solve for x
    x = 101,483,621,116.15/461,965.32
  6. Step 6: Final answer
    x = 219,678.01

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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.