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Finding the Fourth Proportional to 313,858.32, 433,115.35 and 177,904.77

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Solution

The fourth proportional to 313,858.32, 433,115.35 and 177,904.77 is: 245,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,858.32 : 433,115.35 = 177,904.77 : x
  2. Step 2: Convert to fraction form
    313,858.32/433,115.35 = 177,904.77/x
  3. Step 3: Cross multiply
    313,858.32x = 433,115.35 × 177,904.77
  4. Step 4: Simplify right side
    313,858.32x = 77,053,286,280.46
  5. Step 5: Solve for x
    x = 77,053,286,280.46/313,858.32
  6. Step 6: Final answer
    x = 245,503.41

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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.