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Finding the Fourth Proportional to 304,854.87, 420,694.02 and 184,001.25

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Solution

The fourth proportional to 304,854.87, 420,694.02 and 184,001.25 is: 253,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854.87 : 420,694.02 = 184,001.25 : x
  2. Step 2: Convert to fraction form
    304,854.87/420,694.02 = 184,001.25/x
  3. Step 3: Cross multiply
    304,854.87x = 420,694.02 × 184,001.25
  4. Step 4: Simplify right side
    304,854.87x = 77,408,225,547.53
  5. Step 5: Solve for x
    x = 77,408,225,547.53/304,854.87
  6. Step 6: Final answer
    x = 253,918.28

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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.