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Finding the Fourth Proportional to 343,197, 514,304.91 and 150,840.90

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Solution

The fourth proportional to 343,197, 514,304.91 and 150,840.90 is: 226,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,197 : 514,304.91 = 150,840.90 : x
  2. Step 2: Convert to fraction form
    343,197/514,304.91 = 150,840.90/x
  3. Step 3: Cross multiply
    343,197x = 514,304.91 × 150,840.90
  4. Step 4: Simplify right side
    343,197x = 77,578,215,498.82
  5. Step 5: Solve for x
    x = 77,578,215,498.82/343,197
  6. Step 6: Final answer
    x = 226,045.73

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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.