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Finding the Fourth Proportional to 524,006.16, 786,175.26 and 187,039.32

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Solution

The fourth proportional to 524,006.16, 786,175.26 and 187,039.32 is: 280,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,006.16 : 786,175.26 = 187,039.32 : x
  2. Step 2: Convert to fraction form
    524,006.16/786,175.26 = 187,039.32/x
  3. Step 3: Cross multiply
    524,006.16x = 786,175.26 × 187,039.32
  4. Step 4: Simplify right side
    524,006.16x = 147,045,686,031.22
  5. Step 5: Solve for x
    x = 147,045,686,031.22/524,006.16
  6. Step 6: Final answer
    x = 280,618.24

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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.