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Finding the Fourth Proportional to 226,402.58, 312,123.31 and 180,617.58

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Solution

The fourth proportional to 226,402.58, 312,123.31 and 180,617.58 is: 249,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,402.58 : 312,123.31 = 180,617.58 : x
  2. Step 2: Convert to fraction form
    226,402.58/312,123.31 = 180,617.58/x
  3. Step 3: Cross multiply
    226,402.58x = 312,123.31 × 180,617.58
  4. Step 4: Simplify right side
    226,402.58x = 56,374,956,913.79
  5. Step 5: Solve for x
    x = 56,374,956,913.79/226,402.58
  6. Step 6: Final answer
    x = 249,003.16

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1.5x scale

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.