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Finding the Fourth Proportional to 630,877.42, 946,465.29 and 204,412.54

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Solution

The fourth proportional to 630,877.42, 946,465.29 and 204,412.54 is: 306,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,877.42 : 946,465.29 = 204,412.54 : x
  2. Step 2: Convert to fraction form
    630,877.42/946,465.29 = 204,412.54/x
  3. Step 3: Cross multiply
    630,877.42x = 946,465.29 × 204,412.54
  4. Step 4: Simplify right side
    630,877.42x = 193,469,373,950.74
  5. Step 5: Solve for x
    x = 193,469,373,950.74/630,877.42
  6. Step 6: Final answer
    x = 306,667.14

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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.