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Finding the Fourth Proportional to 313,803.06, 433,033.88 and 177,829.04

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Solution

The fourth proportional to 313,803.06, 433,033.88 and 177,829.04 is: 245,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,803.06 : 433,033.88 = 177,829.04 : x
  2. Step 2: Convert to fraction form
    313,803.06/433,033.88 = 177,829.04/x
  3. Step 3: Cross multiply
    313,803.06x = 433,033.88 × 177,829.04
  4. Step 4: Simplify right side
    313,803.06x = 77,005,996,113.56
  5. Step 5: Solve for x
    x = 77,005,996,113.56/313,803.06
  6. Step 6: Final answer
    x = 245,395.94

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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.