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Finding the Fourth Proportional to 523,256.15, 722,205.95 and 319,263.27

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Solution

The fourth proportional to 523,256.15, 722,205.95 and 319,263.27 is: 440,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,256.15 : 722,205.95 = 319,263.27 : x
  2. Step 2: Convert to fraction form
    523,256.15/722,205.95 = 319,263.27/x
  3. Step 3: Cross multiply
    523,256.15x = 722,205.95 × 319,263.27
  4. Step 4: Simplify right side
    523,256.15x = 230,573,833,866.20
  5. Step 5: Solve for x
    x = 230,573,833,866.20/523,256.15
  6. Step 6: Final answer
    x = 440,651.93

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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.