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Finding the Fourth Proportional to 359,285.76, 495,873.12 and 216,124.80

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Solution

The fourth proportional to 359,285.76, 495,873.12 and 216,124.80 is: 298,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,285.76 : 495,873.12 = 216,124.80 : x
  2. Step 2: Convert to fraction form
    359,285.76/495,873.12 = 216,124.80/x
  3. Step 3: Cross multiply
    359,285.76x = 495,873.12 × 216,124.80
  4. Step 4: Simplify right side
    359,285.76x = 107,170,478,885.38
  5. Step 5: Solve for x
    x = 107,170,478,885.38/359,285.76
  6. Step 6: Final answer
    x = 298,287.58

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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.