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Finding the Fourth Proportional to 369,607.74, 510,057.64 and 206,262.51

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Solution

The fourth proportional to 369,607.74, 510,057.64 and 206,262.51 is: 284,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,607.74 : 510,057.64 = 206,262.51 : x
  2. Step 2: Convert to fraction form
    369,607.74/510,057.64 = 206,262.51/x
  3. Step 3: Cross multiply
    369,607.74x = 510,057.64 × 206,262.51
  4. Step 4: Simplify right side
    369,607.74x = 105,205,769,071.08
  5. Step 5: Solve for x
    x = 105,205,769,071.08/369,607.74
  6. Step 6: Final answer
    x = 284,641.68

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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.