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Finding the Fourth Proportional to 385,892.07, 578,529 and 183,386.54

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Solution

The fourth proportional to 385,892.07, 578,529 and 183,386.54 is: 274,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,892.07 : 578,529 = 183,386.54 : x
  2. Step 2: Convert to fraction form
    385,892.07/578,529 = 183,386.54/x
  3. Step 3: Cross multiply
    385,892.07x = 578,529 × 183,386.54
  4. Step 4: Simplify right side
    385,892.07x = 106,094,433,045.98
  5. Step 5: Solve for x
    x = 106,094,433,045.98/385,892.07
  6. Step 6: Final answer
    x = 274,932.92

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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.