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Finding the Fourth Proportional to 650,079.49, 975,298.65 and 271,178.32

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Solution

The fourth proportional to 650,079.49, 975,298.65 and 271,178.32 is: 406,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,079.49 : 975,298.65 = 271,178.32 : x
  2. Step 2: Convert to fraction form
    650,079.49/975,298.65 = 271,178.32/x
  3. Step 3: Cross multiply
    650,079.49x = 975,298.65 × 271,178.32
  4. Step 4: Simplify right side
    650,079.49x = 264,479,849,405.27
  5. Step 5: Solve for x
    x = 264,479,849,405.27/650,079.49
  6. Step 6: Final answer
    x = 406,842.32

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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.