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Finding the Fourth Proportional to 419,146.45, 578,389.13 and 237,858.38

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Solution

The fourth proportional to 419,146.45, 578,389.13 and 237,858.38 is: 328,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,146.45 : 578,389.13 = 237,858.38 : x
  2. Step 2: Convert to fraction form
    419,146.45/578,389.13 = 237,858.38/x
  3. Step 3: Cross multiply
    419,146.45x = 578,389.13 × 237,858.38
  4. Step 4: Simplify right side
    419,146.45x = 137,574,701,897.07
  5. Step 5: Solve for x
    x = 137,574,701,897.07/419,146.45
  6. Step 6: Final answer
    x = 328,225.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.