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Finding the Fourth Proportional to 406,574.50, 561,072.81 and 247,598.50

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Solution

The fourth proportional to 406,574.50, 561,072.81 and 247,598.50 is: 341,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,574.50 : 561,072.81 = 247,598.50 : x
  2. Step 2: Convert to fraction form
    406,574.50/561,072.81 = 247,598.50/x
  3. Step 3: Cross multiply
    406,574.50x = 561,072.81 × 247,598.50
  4. Step 4: Simplify right side
    406,574.50x = 138,920,786,146.79
  5. Step 5: Solve for x
    x = 138,920,786,146.79/406,574.50
  6. Step 6: Final answer
    x = 341,685.93

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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.