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Finding the Fourth Proportional to 407,715.80, 609,605.40 and 301,427.60

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Solution

The fourth proportional to 407,715.80, 609,605.40 and 301,427.60 is: 450,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.80 : 609,605.40 = 301,427.60 : x
  2. Step 2: Convert to fraction form
    407,715.80/609,605.40 = 301,427.60/x
  3. Step 3: Cross multiply
    407,715.80x = 609,605.40 × 301,427.60
  4. Step 4: Simplify right side
    407,715.80x = 183,751,892,669.04
  5. Step 5: Solve for x
    x = 183,751,892,669.04/407,715.80
  6. Step 6: Final answer
    x = 450,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.