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Finding the Fourth Proportional to 565,846.59, 849,143.78 and 266,412.80

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Solution

The fourth proportional to 565,846.59, 849,143.78 and 266,412.80 is: 399,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,846.59 : 849,143.78 = 266,412.80 : x
  2. Step 2: Convert to fraction form
    565,846.59/849,143.78 = 266,412.80/x
  3. Step 3: Cross multiply
    565,846.59x = 849,143.78 × 266,412.80
  4. Step 4: Simplify right side
    565,846.59x = 226,222,772,032.38
  5. Step 5: Solve for x
    x = 226,222,772,032.38/565,846.59
  6. Step 6: Final answer
    x = 399,795.24

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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.