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Finding the Fourth Proportional to 264,002.80, 395,615.40 and 224,345.20

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Solution

The fourth proportional to 264,002.80, 395,615.40 and 224,345.20 is: 336,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002.80 : 395,615.40 = 224,345.20 : x
  2. Step 2: Convert to fraction form
    264,002.80/395,615.40 = 224,345.20/x
  3. Step 3: Cross multiply
    264,002.80x = 395,615.40 × 224,345.20
  4. Step 4: Simplify right side
    264,002.80x = 88,754,416,036.08
  5. Step 5: Solve for x
    x = 88,754,416,036.08/264,002.80
  6. Step 6: Final answer
    x = 336,187.40

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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.