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Finding the Fourth Proportional to 407,253.51, 562,002.62 and 225,962.30

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Solution

The fourth proportional to 407,253.51, 562,002.62 and 225,962.30 is: 311,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,253.51 : 562,002.62 = 225,962.30 : x
  2. Step 2: Convert to fraction form
    407,253.51/562,002.62 = 225,962.30/x
  3. Step 3: Cross multiply
    407,253.51x = 562,002.62 × 225,962.30
  4. Step 4: Simplify right side
    407,253.51x = 126,991,404,621.23
  5. Step 5: Solve for x
    x = 126,991,404,621.23/407,253.51
  6. Step 6: Final answer
    x = 311,823.97

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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.