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Finding the Fourth Proportional to 320,021.20, 480,031.80 and 202,214.80

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Solution

The fourth proportional to 320,021.20, 480,031.80 and 202,214.80 is: 303,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,021.20 : 480,031.80 = 202,214.80 : x
  2. Step 2: Convert to fraction form
    320,021.20/480,031.80 = 202,214.80/x
  3. Step 3: Cross multiply
    320,021.20x = 480,031.80 × 202,214.80
  4. Step 4: Simplify right side
    320,021.20x = 97,069,534,430.64
  5. Step 5: Solve for x
    x = 97,069,534,430.64/320,021.20
  6. Step 6: Final answer
    x = 303,322.20

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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.