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Finding the Fourth Proportional to 523,698.96, 722,709.64 and 297,349.52

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Solution

The fourth proportional to 523,698.96, 722,709.64 and 297,349.52 is: 410,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,698.96 : 722,709.64 = 297,349.52 : x
  2. Step 2: Convert to fraction form
    523,698.96/722,709.64 = 297,349.52/x
  3. Step 3: Cross multiply
    523,698.96x = 722,709.64 × 297,349.52
  4. Step 4: Simplify right side
    523,698.96x = 214,897,364,553.37
  5. Step 5: Solve for x
    x = 214,897,364,553.37/523,698.96
  6. Step 6: Final answer
    x = 410,345.22

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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.