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Finding the Fourth Proportional to 418,562.81, 627,830.13 and 181,905.51

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Solution

The fourth proportional to 418,562.81, 627,830.13 and 181,905.51 is: 272,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,562.81 : 627,830.13 = 181,905.51 : x
  2. Step 2: Convert to fraction form
    418,562.81/627,830.13 = 181,905.51/x
  3. Step 3: Cross multiply
    418,562.81x = 627,830.13 × 181,905.51
  4. Step 4: Simplify right side
    418,562.81x = 114,205,759,991.02
  5. Step 5: Solve for x
    x = 114,205,759,991.02/418,562.81
  6. Step 6: Final answer
    x = 272,852.14

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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.