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Finding the Fourth Proportional to 524,083.20, 785,444.40 and 243,002.40

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Solution

The fourth proportional to 524,083.20, 785,444.40 and 243,002.40 is: 364,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,083.20 : 785,444.40 = 243,002.40 : x
  2. Step 2: Convert to fraction form
    524,083.20/785,444.40 = 243,002.40/x
  3. Step 3: Cross multiply
    524,083.20x = 785,444.40 × 243,002.40
  4. Step 4: Simplify right side
    524,083.20x = 190,864,874,266.56
  5. Step 5: Solve for x
    x = 190,864,874,266.56/524,083.20
  6. Step 6: Final answer
    x = 364,188.12

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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.