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Finding the Fourth Proportional to 338,343.20, 507,514.80 and 101,722.40

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Solution

The fourth proportional to 338,343.20, 507,514.80 and 101,722.40 is: 152,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,343.20 : 507,514.80 = 101,722.40 : x
  2. Step 2: Convert to fraction form
    338,343.20/507,514.80 = 101,722.40/x
  3. Step 3: Cross multiply
    338,343.20x = 507,514.80 × 101,722.40
  4. Step 4: Simplify right side
    338,343.20x = 51,625,623,491.52
  5. Step 5: Solve for x
    x = 51,625,623,491.52/338,343.20
  6. Step 6: Final answer
    x = 152,583.60

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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.