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Finding the Fourth Proportional to 431,444.02, 595,413 and 240,458.77

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Solution

The fourth proportional to 431,444.02, 595,413 and 240,458.77 is: 331,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,444.02 : 595,413 = 240,458.77 : x
  2. Step 2: Convert to fraction form
    431,444.02/595,413 = 240,458.77/x
  3. Step 3: Cross multiply
    431,444.02x = 595,413 × 240,458.77
  4. Step 4: Simplify right side
    431,444.02x = 143,172,274,644.95
  5. Step 5: Solve for x
    x = 143,172,274,644.95/431,444.02
  6. Step 6: Final answer
    x = 331,844.39

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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.