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Finding the Fourth Proportional to 357,563.13, 536,570.79 and 199,895.01

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Solution

The fourth proportional to 357,563.13, 536,570.79 and 199,895.01 is: 299,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,563.13 : 536,570.79 = 199,895.01 : x
  2. Step 2: Convert to fraction form
    357,563.13/536,570.79 = 199,895.01/x
  3. Step 3: Cross multiply
    357,563.13x = 536,570.79 × 199,895.01
  4. Step 4: Simplify right side
    357,563.13x = 107,257,823,432.76
  5. Step 5: Solve for x
    x = 107,257,823,432.76/357,563.13
  6. Step 6: Final answer
    x = 299,968.91

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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.