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Finding the Fourth Proportional to 538,005.60, 807,123.60 and 164,066.40

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Solution

The fourth proportional to 538,005.60, 807,123.60 and 164,066.40 is: 246,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,005.60 : 807,123.60 = 164,066.40 : x
  2. Step 2: Convert to fraction form
    538,005.60/807,123.60 = 164,066.40/x
  3. Step 3: Cross multiply
    538,005.60x = 807,123.60 × 164,066.40
  4. Step 4: Simplify right side
    538,005.60x = 132,421,863,407.04
  5. Step 5: Solve for x
    x = 132,421,863,407.04/538,005.60
  6. Step 6: Final answer
    x = 246,134.73

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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.