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Finding the Fourth Proportional to 671,873.74, 927,118.51 and 413,709.32

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Solution

The fourth proportional to 671,873.74, 927,118.51 and 413,709.32 is: 570,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,873.74 : 927,118.51 = 413,709.32 : x
  2. Step 2: Convert to fraction form
    671,873.74/927,118.51 = 413,709.32/x
  3. Step 3: Cross multiply
    671,873.74x = 927,118.51 × 413,709.32
  4. Step 4: Simplify right side
    671,873.74x = 383,557,569,615.04
  5. Step 5: Solve for x
    x = 383,557,569,615.04/671,873.74
  6. Step 6: Final answer
    x = 570,877.46

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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.