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Finding the Fourth Proportional to 524,825.80, 786,072.30 and 406,112.20

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Solution

The fourth proportional to 524,825.80, 786,072.30 and 406,112.20 is: 608,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,825.80 : 786,072.30 = 406,112.20 : x
  2. Step 2: Convert to fraction form
    524,825.80/786,072.30 = 406,112.20/x
  3. Step 3: Cross multiply
    524,825.80x = 786,072.30 × 406,112.20
  4. Step 4: Simplify right side
    524,825.80x = 319,233,551,112.06
  5. Step 5: Solve for x
    x = 319,233,551,112.06/524,825.80
  6. Step 6: Final answer
    x = 608,265.74

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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.