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Finding the Fourth Proportional to 304,829.54, 420,870.16 and 190,282.58

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Solution

The fourth proportional to 304,829.54, 420,870.16 and 190,282.58 is: 262,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,829.54 : 420,870.16 = 190,282.58 : x
  2. Step 2: Convert to fraction form
    304,829.54/420,870.16 = 190,282.58/x
  3. Step 3: Cross multiply
    304,829.54x = 420,870.16 × 190,282.58
  4. Step 4: Simplify right side
    304,829.54x = 80,084,259,889.81
  5. Step 5: Solve for x
    x = 80,084,259,889.81/304,829.54
  6. Step 6: Final answer
    x = 262,718.17

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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.