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Finding the Fourth Proportional to 413,678.34, 570,858.03 and 252,802.62

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Solution

The fourth proportional to 413,678.34, 570,858.03 and 252,802.62 is: 348,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,678.34 : 570,858.03 = 252,802.62 : x
  2. Step 2: Convert to fraction form
    413,678.34/570,858.03 = 252,802.62/x
  3. Step 3: Cross multiply
    413,678.34x = 570,858.03 × 252,802.62
  4. Step 4: Simplify right side
    413,678.34x = 144,314,405,632.04
  5. Step 5: Solve for x
    x = 144,314,405,632.04/413,678.34
  6. Step 6: Final answer
    x = 348,856.57

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