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Finding the Fourth Proportional to 524,641.32, 786,744.69 and 164,691.90

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Solution

The fourth proportional to 524,641.32, 786,744.69 and 164,691.90 is: 246,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,641.32 : 786,744.69 = 164,691.90 : x
  2. Step 2: Convert to fraction form
    524,641.32/786,744.69 = 164,691.90/x
  3. Step 3: Cross multiply
    524,641.32x = 786,744.69 × 164,691.90
  4. Step 4: Simplify right side
    524,641.32x = 129,570,477,811.01
  5. Step 5: Solve for x
    x = 129,570,477,811.01/524,641.32
  6. Step 6: Final answer
    x = 246,969.64

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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.