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Finding the Fourth Proportional to 406,601.58, 561,113.47 and 225,316.53

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Solution

The fourth proportional to 406,601.58, 561,113.47 and 225,316.53 is: 310,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,601.58 : 561,113.47 = 225,316.53 : x
  2. Step 2: Convert to fraction form
    406,601.58/561,113.47 = 225,316.53/x
  3. Step 3: Cross multiply
    406,601.58x = 561,113.47 × 225,316.53
  4. Step 4: Simplify right side
    406,601.58x = 126,428,141,222.73
  5. Step 5: Solve for x
    x = 126,428,141,222.73/406,601.58
  6. Step 6: Final answer
    x = 310,938.64

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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.