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Finding the Fourth Proportional to 560,592.90, 840,389.40 and 205,524.18

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Solution

The fourth proportional to 560,592.90, 840,389.40 and 205,524.18 is: 308,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,592.90 : 840,389.40 = 205,524.18 : x
  2. Step 2: Convert to fraction form
    560,592.90/840,389.40 = 205,524.18/x
  3. Step 3: Cross multiply
    560,592.90x = 840,389.40 × 205,524.18
  4. Step 4: Simplify right side
    560,592.90x = 172,720,342,315.69
  5. Step 5: Solve for x
    x = 172,720,342,315.69/560,592.90
  6. Step 6: Final answer
    x = 308,102.98

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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.