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Finding the Fourth Proportional to 372,830.56, 514,506.96 and 203,064.16

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Solution

The fourth proportional to 372,830.56, 514,506.96 and 203,064.16 is: 280,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,830.56 : 514,506.96 = 203,064.16 : x
  2. Step 2: Convert to fraction form
    372,830.56/514,506.96 = 203,064.16/x
  3. Step 3: Cross multiply
    372,830.56x = 514,506.96 × 203,064.16
  4. Step 4: Simplify right side
    372,830.56x = 104,477,923,646.55
  5. Step 5: Solve for x
    x = 104,477,923,646.55/372,830.56
  6. Step 6: Final answer
    x = 280,228.97

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Why These Related Problems?

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