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Finding the Fourth Proportional to 296,724.50, 409,479.82 and 162,585.62

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Solution

The fourth proportional to 296,724.50, 409,479.82 and 162,585.62 is: 224,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,724.50 : 409,479.82 = 162,585.62 : x
  2. Step 2: Convert to fraction form
    296,724.50/409,479.82 = 162,585.62/x
  3. Step 3: Cross multiply
    296,724.50x = 409,479.82 × 162,585.62
  4. Step 4: Simplify right side
    296,724.50x = 66,575,530,412.19
  5. Step 5: Solve for x
    x = 66,575,530,412.19/296,724.50
  6. Step 6: Final answer
    x = 224,368.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.