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Finding the Fourth Proportional to 291,705.40, 437,558.10 and 165,734.20

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Solution

The fourth proportional to 291,705.40, 437,558.10 and 165,734.20 is: 248,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705.40 : 437,558.10 = 165,734.20 : x
  2. Step 2: Convert to fraction form
    291,705.40/437,558.10 = 165,734.20/x
  3. Step 3: Cross multiply
    291,705.40x = 437,558.10 × 165,734.20
  4. Step 4: Simplify right side
    291,705.40x = 72,518,341,657.02
  5. Step 5: Solve for x
    x = 72,518,341,657.02/291,705.40
  6. Step 6: Final answer
    x = 248,601.30

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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.