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Finding the Fourth Proportional to 315,271.56, 435,074.72 and 202,094.30

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Solution

The fourth proportional to 315,271.56, 435,074.72 and 202,094.30 is: 278,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,271.56 : 435,074.72 = 202,094.30 : x
  2. Step 2: Convert to fraction form
    315,271.56/435,074.72 = 202,094.30/x
  3. Step 3: Cross multiply
    315,271.56x = 435,074.72 × 202,094.30
  4. Step 4: Simplify right side
    315,271.56x = 87,926,120,986.10
  5. Step 5: Solve for x
    x = 87,926,120,986.10/315,271.56
  6. Step 6: Final answer
    x = 278,890.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.