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Finding the Fourth Proportional to 567,623.26, 850,471.36 and 342,510.66

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Solution

The fourth proportional to 567,623.26, 850,471.36 and 342,510.66 is: 513,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,623.26 : 850,471.36 = 342,510.66 : x
  2. Step 2: Convert to fraction form
    567,623.26/850,471.36 = 342,510.66/x
  3. Step 3: Cross multiply
    567,623.26x = 850,471.36 × 342,510.66
  4. Step 4: Simplify right side
    567,623.26x = 291,295,506,824.70
  5. Step 5: Solve for x
    x = 291,295,506,824.70/567,623.26
  6. Step 6: Final answer
    x = 513,184.58

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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.