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Finding the Fourth Proportional to 524,761.32, 786,762.74 and 204,642.02

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Solution

The fourth proportional to 524,761.32, 786,762.74 and 204,642.02 is: 306,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,761.32 : 786,762.74 = 204,642.02 : x
  2. Step 2: Convert to fraction form
    524,761.32/786,762.74 = 204,642.02/x
  3. Step 3: Cross multiply
    524,761.32x = 786,762.74 × 204,642.02
  4. Step 4: Simplify right side
    524,761.32x = 161,004,716,374.34
  5. Step 5: Solve for x
    x = 161,004,716,374.34/524,761.32
  6. Step 6: Final answer
    x = 306,815.14

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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.