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Finding the Fourth Proportional to 296,421.40, 444,632.10 and 178,031.80

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Solution

The fourth proportional to 296,421.40, 444,632.10 and 178,031.80 is: 267,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,421.40 : 444,632.10 = 178,031.80 : x
  2. Step 2: Convert to fraction form
    296,421.40/444,632.10 = 178,031.80/x
  3. Step 3: Cross multiply
    296,421.40x = 444,632.10 × 178,031.80
  4. Step 4: Simplify right side
    296,421.40x = 79,158,653,100.78
  5. Step 5: Solve for x
    x = 79,158,653,100.78/296,421.40
  6. Step 6: Final answer
    x = 267,047.70

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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.