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Finding the Fourth Proportional to 406,957.95, 561,591.33 and 225,669.31

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Solution

The fourth proportional to 406,957.95, 561,591.33 and 225,669.31 is: 311,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,957.95 : 561,591.33 = 225,669.31 : x
  2. Step 2: Convert to fraction form
    406,957.95/561,591.33 = 225,669.31/x
  3. Step 3: Cross multiply
    406,957.95x = 561,591.33 × 225,669.31
  4. Step 4: Simplify right side
    406,957.95x = 126,733,927,943.08
  5. Step 5: Solve for x
    x = 126,733,927,943.08/406,957.95
  6. Step 6: Final answer
    x = 311,417.75

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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.