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Finding the Fourth Proportional to 316,103.37, 473,655.68 and 256,648.56

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Solution

The fourth proportional to 316,103.37, 473,655.68 and 256,648.56 is: 384,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,103.37 : 473,655.68 = 256,648.56 : x
  2. Step 2: Convert to fraction form
    316,103.37/473,655.68 = 256,648.56/x
  3. Step 3: Cross multiply
    316,103.37x = 473,655.68 × 256,648.56
  4. Step 4: Simplify right side
    316,103.37x = 121,563,046,924.58
  5. Step 5: Solve for x
    x = 121,563,046,924.58/316,103.37
  6. Step 6: Final answer
    x = 384,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.