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Finding the Fourth Proportional to 294,704.16, 406,740.90 and 173,875.44

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Solution

The fourth proportional to 294,704.16, 406,740.90 and 173,875.44 is: 239,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,704.16 : 406,740.90 = 173,875.44 : x
  2. Step 2: Convert to fraction form
    294,704.16/406,740.90 = 173,875.44/x
  3. Step 3: Cross multiply
    294,704.16x = 406,740.90 × 173,875.44
  4. Step 4: Simplify right side
    294,704.16x = 70,722,252,953.50
  5. Step 5: Solve for x
    x = 70,722,252,953.50/294,704.16
  6. Step 6: Final answer
    x = 239,977.11

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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.