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Finding the Fourth Proportional to 523,584.34, 722,495.35 and 294,089.65

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Solution

The fourth proportional to 523,584.34, 722,495.35 and 294,089.65 is: 405,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,584.34 : 722,495.35 = 294,089.65 : x
  2. Step 2: Convert to fraction form
    523,584.34/722,495.35 = 294,089.65/x
  3. Step 3: Cross multiply
    523,584.34x = 722,495.35 × 294,089.65
  4. Step 4: Simplify right side
    523,584.34x = 212,478,404,608.13
  5. Step 5: Solve for x
    x = 212,478,404,608.13/523,584.34
  6. Step 6: Final answer
    x = 405,815.05

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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.