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Finding the Fourth Proportional to 524,029.66, 786,210.64 and 187,063.09

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Solution

The fourth proportional to 524,029.66, 786,210.64 and 187,063.09 is: 280,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,029.66 : 786,210.64 = 187,063.09 : x
  2. Step 2: Convert to fraction form
    524,029.66/786,210.64 = 187,063.09/x
  3. Step 3: Cross multiply
    524,029.66x = 786,210.64 × 187,063.09
  4. Step 4: Simplify right side
    524,029.66x = 147,070,989,276.09
  5. Step 5: Solve for x
    x = 147,070,989,276.09/524,029.66
  6. Step 6: Final answer
    x = 280,653.94

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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.