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Finding the Fourth Proportional to 401,792.30, 602,619.14 and 113,624.07

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Solution

The fourth proportional to 401,792.30, 602,619.14 and 113,624.07 is: 170,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,792.30 : 602,619.14 = 113,624.07 : x
  2. Step 2: Convert to fraction form
    401,792.30/602,619.14 = 113,624.07/x
  3. Step 3: Cross multiply
    401,792.30x = 602,619.14 × 113,624.07
  4. Step 4: Simplify right side
    401,792.30x = 68,472,037,370.94
  5. Step 5: Solve for x
    x = 68,472,037,370.94/401,792.30
  6. Step 6: Final answer
    x = 170,416.50

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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.