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Finding the Fourth Proportional to 564,149.32, 846,303 and 164,819.32

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Solution

The fourth proportional to 564,149.32, 846,303 and 164,819.32 is: 247,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,149.32 : 846,303 = 164,819.32 : x
  2. Step 2: Convert to fraction form
    564,149.32/846,303 = 164,819.32/x
  3. Step 3: Cross multiply
    564,149.32x = 846,303 × 164,819.32
  4. Step 4: Simplify right side
    564,149.32x = 139,487,084,973.96
  5. Step 5: Solve for x
    x = 139,487,084,973.96/564,149.32
  6. Step 6: Final answer
    x = 247,252.07

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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.