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Finding the Fourth Proportional to 311,706.06, 430,210.47 and 175,781.58

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Solution

The fourth proportional to 311,706.06, 430,210.47 and 175,781.58 is: 242,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,706.06 : 430,210.47 = 175,781.58 : x
  2. Step 2: Convert to fraction form
    311,706.06/430,210.47 = 175,781.58/x
  3. Step 3: Cross multiply
    311,706.06x = 430,210.47 × 175,781.58
  4. Step 4: Simplify right side
    311,706.06x = 75,623,076,149.14
  5. Step 5: Solve for x
    x = 75,623,076,149.14/311,706.06
  6. Step 6: Final answer
    x = 242,610.22

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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.