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Finding the Fourth Proportional to 611,731.20, 917,159.40 and 274,495.80

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Solution

The fourth proportional to 611,731.20, 917,159.40 and 274,495.80 is: 411,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,731.20 : 917,159.40 = 274,495.80 : x
  2. Step 2: Convert to fraction form
    611,731.20/917,159.40 = 274,495.80/x
  3. Step 3: Cross multiply
    611,731.20x = 917,159.40 × 274,495.80
  4. Step 4: Simplify right side
    611,731.20x = 251,756,403,230.52
  5. Step 5: Solve for x
    x = 251,756,403,230.52/611,731.20
  6. Step 6: Final answer
    x = 411,547.43

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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.