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Finding the Fourth Proportional to 524,520.16, 786,897.24 and 150,514

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Solution

The fourth proportional to 524,520.16, 786,897.24 and 150,514 is: 225,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,520.16 : 786,897.24 = 150,514 : x
  2. Step 2: Convert to fraction form
    524,520.16/786,897.24 = 150,514/x
  3. Step 3: Cross multiply
    524,520.16x = 786,897.24 × 150,514
  4. Step 4: Simplify right side
    524,520.16x = 118,439,051,181.36
  5. Step 5: Solve for x
    x = 118,439,051,181.36/524,520.16
  6. Step 6: Final answer
    x = 225,804.57

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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.