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Finding the Fourth Proportional to 320,031.70, 480,047.55 and 202,225.30

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Solution

The fourth proportional to 320,031.70, 480,047.55 and 202,225.30 is: 303,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,031.70 : 480,047.55 = 202,225.30 : x
  2. Step 2: Convert to fraction form
    320,031.70/480,047.55 = 202,225.30/x
  3. Step 3: Cross multiply
    320,031.70x = 480,047.55 × 202,225.30
  4. Step 4: Simplify right side
    320,031.70x = 97,077,759,813.02
  5. Step 5: Solve for x
    x = 97,077,759,813.02/320,031.70
  6. Step 6: Final answer
    x = 303,337.95

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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.