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Finding the Fourth Proportional to 406,602.58, 561,114.85 and 225,317.53

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Solution

The fourth proportional to 406,602.58, 561,114.85 and 225,317.53 is: 310,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,602.58 : 561,114.85 = 225,317.53 : x
  2. Step 2: Convert to fraction form
    406,602.58/561,114.85 = 225,317.53/x
  3. Step 3: Cross multiply
    406,602.58x = 561,114.85 × 225,317.53
  4. Step 4: Simplify right side
    406,602.58x = 126,429,012,048.32
  5. Step 5: Solve for x
    x = 126,429,012,048.32/406,602.58
  6. Step 6: Final answer
    x = 310,940.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.