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Finding the Fourth Proportional to 296,041.40, 444,062.10 and 146,223.80

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Solution

The fourth proportional to 296,041.40, 444,062.10 and 146,223.80 is: 219,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,041.40 : 444,062.10 = 146,223.80 : x
  2. Step 2: Convert to fraction form
    296,041.40/444,062.10 = 146,223.80/x
  3. Step 3: Cross multiply
    296,041.40x = 444,062.10 × 146,223.80
  4. Step 4: Simplify right side
    296,041.40x = 64,932,447,697.98
  5. Step 5: Solve for x
    x = 64,932,447,697.98/296,041.40
  6. Step 6: Final answer
    x = 219,335.70

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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.