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Finding the Fourth Proportional to 536,698.74, 740,644.50 and 294,979.32

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Solution

The fourth proportional to 536,698.74, 740,644.50 and 294,979.32 is: 407,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,698.74 : 740,644.50 = 294,979.32 : x
  2. Step 2: Convert to fraction form
    536,698.74/740,644.50 = 294,979.32/x
  3. Step 3: Cross multiply
    536,698.74x = 740,644.50 × 294,979.32
  4. Step 4: Simplify right side
    536,698.74x = 218,474,810,971.74
  5. Step 5: Solve for x
    x = 218,474,810,971.74/536,698.74
  6. Step 6: Final answer
    x = 407,071.59

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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.