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Finding the Fourth Proportional to 359,133.64, 495,582.18 and 197,980.36

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Solution

The fourth proportional to 359,133.64, 495,582.18 and 197,980.36 is: 273,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,133.64 : 495,582.18 = 197,980.36 : x
  2. Step 2: Convert to fraction form
    359,133.64/495,582.18 = 197,980.36/x
  3. Step 3: Cross multiply
    359,133.64x = 495,582.18 × 197,980.36
  4. Step 4: Simplify right side
    359,133.64x = 98,115,538,405.98
  5. Step 5: Solve for x
    x = 98,115,538,405.98/359,133.64
  6. Step 6: Final answer
    x = 273,200.63

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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.