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Finding the Fourth Proportional to 295,045.52, 407,158.44 and 165,974.24

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Solution

The fourth proportional to 295,045.52, 407,158.44 and 165,974.24 is: 229,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,045.52 : 407,158.44 = 165,974.24 : x
  2. Step 2: Convert to fraction form
    295,045.52/407,158.44 = 165,974.24/x
  3. Step 3: Cross multiply
    295,045.52x = 407,158.44 × 165,974.24
  4. Step 4: Simplify right side
    295,045.52x = 67,577,812,638.59
  5. Step 5: Solve for x
    x = 67,577,812,638.59/295,045.52
  6. Step 6: Final answer
    x = 229,041.99

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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.