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Finding the Fourth Proportional to 409,407.20, 614,110.80 and 304,431.20

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Solution

The fourth proportional to 409,407.20, 614,110.80 and 304,431.20 is: 456,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,407.20 : 614,110.80 = 304,431.20 : x
  2. Step 2: Convert to fraction form
    409,407.20/614,110.80 = 304,431.20/x
  3. Step 3: Cross multiply
    409,407.20x = 614,110.80 × 304,431.20
  4. Step 4: Simplify right side
    409,407.20x = 186,954,487,776.96
  5. Step 5: Solve for x
    x = 186,954,487,776.96/409,407.20
  6. Step 6: Final answer
    x = 456,646.80

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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.