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Finding the Fourth Proportional to 519,599.50, 779,421.96 and 164,639.68

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Solution

The fourth proportional to 519,599.50, 779,421.96 and 164,639.68 is: 246,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,599.50 : 779,421.96 = 164,639.68 : x
  2. Step 2: Convert to fraction form
    519,599.50/779,421.96 = 164,639.68/x
  3. Step 3: Cross multiply
    519,599.50x = 779,421.96 × 164,639.68
  4. Step 4: Simplify right side
    519,599.50x = 128,323,782,079.37
  5. Step 5: Solve for x
    x = 128,323,782,079.37/519,599.50
  6. Step 6: Final answer
    x = 246,966.72

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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.