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Finding the Fourth Proportional to 359,345.77, 495,903.12 and 196,002.33

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Solution

The fourth proportional to 359,345.77, 495,903.12 and 196,002.33 is: 270,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,345.77 : 495,903.12 = 196,002.33 : x
  2. Step 2: Convert to fraction form
    359,345.77/495,903.12 = 196,002.33/x
  3. Step 3: Cross multiply
    359,345.77x = 495,903.12 × 196,002.33
  4. Step 4: Simplify right side
    359,345.77x = 97,198,163,514.74
  5. Step 5: Solve for x
    x = 97,198,163,514.74/359,345.77
  6. Step 6: Final answer
    x = 270,486.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.