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Finding the Fourth Proportional to 524,031.17, 786,212.90 and 187,064.60

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Solution

The fourth proportional to 524,031.17, 786,212.90 and 187,064.60 is: 280,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,031.17 : 786,212.90 = 187,064.60 : x
  2. Step 2: Convert to fraction form
    524,031.17/786,212.90 = 187,064.60/x
  3. Step 3: Cross multiply
    524,031.17x = 786,212.90 × 187,064.60
  4. Step 4: Simplify right side
    524,031.17x = 147,072,596,786.95
  5. Step 5: Solve for x
    x = 147,072,596,786.95/524,031.17
  6. Step 6: Final answer
    x = 280,656.20

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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.