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Finding the Fourth Proportional to 379,904.64, 569,690.72 and 180,282.24

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Solution

The fourth proportional to 379,904.64, 569,690.72 and 180,282.24 is: 270,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,904.64 : 569,690.72 = 180,282.24 : x
  2. Step 2: Convert to fraction form
    379,904.64/569,690.72 = 180,282.24/x
  3. Step 3: Cross multiply
    379,904.64x = 569,690.72 × 180,282.24
  4. Step 4: Simplify right side
    379,904.64x = 102,705,119,108.81
  5. Step 5: Solve for x
    x = 102,705,119,108.81/379,904.64
  6. Step 6: Final answer
    x = 270,344.47

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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.