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Finding the Fourth Proportional to 359,722.82, 495,956.30 and 294,953.60

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Solution

The fourth proportional to 359,722.82, 495,956.30 and 294,953.60 is: 406,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,722.82 : 495,956.30 = 294,953.60 : x
  2. Step 2: Convert to fraction form
    359,722.82/495,956.30 = 294,953.60/x
  3. Step 3: Cross multiply
    359,722.82x = 495,956.30 × 294,953.60
  4. Step 4: Simplify right side
    359,722.82x = 146,284,096,127.68
  5. Step 5: Solve for x
    x = 146,284,096,127.68/359,722.82
  6. Step 6: Final answer
    x = 406,657.82

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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.