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Finding the Fourth Proportional to 304,283.23, 419,808.88 and 175,218.93

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Solution

The fourth proportional to 304,283.23, 419,808.88 and 175,218.93 is: 241,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,283.23 : 419,808.88 = 175,218.93 : x
  2. Step 2: Convert to fraction form
    304,283.23/419,808.88 = 175,218.93/x
  3. Step 3: Cross multiply
    304,283.23x = 419,808.88 × 175,218.93
  4. Step 4: Simplify right side
    304,283.23x = 73,558,462,758.10
  5. Step 5: Solve for x
    x = 73,558,462,758.10/304,283.23
  6. Step 6: Final answer
    x = 241,743.40

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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.