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Finding the Fourth Proportional to 524,051.96, 786,078.12 and 164,250.74

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Solution

The fourth proportional to 524,051.96, 786,078.12 and 164,250.74 is: 246,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,051.96 : 786,078.12 = 164,250.74 : x
  2. Step 2: Convert to fraction form
    524,051.96/786,078.12 = 164,250.74/x
  3. Step 3: Cross multiply
    524,051.96x = 786,078.12 × 164,250.74
  4. Step 4: Simplify right side
    524,051.96x = 129,113,910,143.35
  5. Step 5: Solve for x
    x = 129,113,910,143.35/524,051.96
  6. Step 6: Final answer
    x = 246,376.16

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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.