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Finding the Fourth Proportional to 328,532.20, 492,798.30 and 293,102.80

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Solution

The fourth proportional to 328,532.20, 492,798.30 and 293,102.80 is: 439,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,532.20 : 492,798.30 = 293,102.80 : x
  2. Step 2: Convert to fraction form
    328,532.20/492,798.30 = 293,102.80/x
  3. Step 3: Cross multiply
    328,532.20x = 492,798.30 × 293,102.80
  4. Step 4: Simplify right side
    328,532.20x = 144,440,561,565.24
  5. Step 5: Solve for x
    x = 144,440,561,565.24/328,532.20
  6. Step 6: Final answer
    x = 439,654.20

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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.