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Finding the Fourth Proportional to 509,387.16, 702,940.38 and 283,026.84

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Solution

The fourth proportional to 509,387.16, 702,940.38 and 283,026.84 is: 390,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,387.16 : 702,940.38 = 283,026.84 : x
  2. Step 2: Convert to fraction form
    509,387.16/702,940.38 = 283,026.84/x
  3. Step 3: Cross multiply
    509,387.16x = 702,940.38 × 283,026.84
  4. Step 4: Simplify right side
    509,387.16x = 198,950,994,459.80
  5. Step 5: Solve for x
    x = 198,950,994,459.80/509,387.16
  6. Step 6: Final answer
    x = 390,569.32

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Why These Related Problems?

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