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Finding the Fourth Proportional to 313,704.95, 432,877.68 and 177,709.77

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Solution

The fourth proportional to 313,704.95, 432,877.68 and 177,709.77 is: 245,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,704.95 : 432,877.68 = 177,709.77 : x
  2. Step 2: Convert to fraction form
    313,704.95/432,877.68 = 177,709.77/x
  3. Step 3: Cross multiply
    313,704.95x = 432,877.68 × 177,709.77
  4. Step 4: Simplify right side
    313,704.95x = 76,926,592,950.93
  5. Step 5: Solve for x
    x = 76,926,592,950.93/313,704.95
  6. Step 6: Final answer
    x = 245,219.57

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1.5x scale

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.