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Finding the Fourth Proportional to 420,460.40, 630,496.20 and 183,681.20

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Solution

The fourth proportional to 420,460.40, 630,496.20 and 183,681.20 is: 275,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,460.40 : 630,496.20 = 183,681.20 : x
  2. Step 2: Convert to fraction form
    420,460.40/630,496.20 = 183,681.20/x
  3. Step 3: Cross multiply
    420,460.40x = 630,496.20 × 183,681.20
  4. Step 4: Simplify right side
    420,460.40x = 115,810,298,611.44
  5. Step 5: Solve for x
    x = 115,810,298,611.44/420,460.40
  6. Step 6: Final answer
    x = 275,436.87

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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.