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Finding the Fourth Proportional to 328,923.20, 493,615.20 and 210,881.60

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Solution

The fourth proportional to 328,923.20, 493,615.20 and 210,881.60 is: 316,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,923.20 : 493,615.20 = 210,881.60 : x
  2. Step 2: Convert to fraction form
    328,923.20/493,615.20 = 210,881.60/x
  3. Step 3: Cross multiply
    328,923.20x = 493,615.20 × 210,881.60
  4. Step 4: Simplify right side
    328,923.20x = 104,094,363,160.32
  5. Step 5: Solve for x
    x = 104,094,363,160.32/328,923.20
  6. Step 6: Final answer
    x = 316,470.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.