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Finding the Fourth Proportional to 359,064.64, 495,537.76 and 197,948.48

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Solution

The fourth proportional to 359,064.64, 495,537.76 and 197,948.48 is: 273,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,064.64 : 495,537.76 = 197,948.48 : x
  2. Step 2: Convert to fraction form
    359,064.64/495,537.76 = 197,948.48/x
  3. Step 3: Cross multiply
    359,064.64x = 495,537.76 × 197,948.48
  4. Step 4: Simplify right side
    359,064.64x = 98,090,946,374.60
  5. Step 5: Solve for x
    x = 98,090,946,374.60/359,064.64
  6. Step 6: Final answer
    x = 273,184.65

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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.