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Finding the Fourth Proportional to 413,355.60, 570,492.98 and 252,304.22

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Solution

The fourth proportional to 413,355.60, 570,492.98 and 252,304.22 is: 348,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,355.60 : 570,492.98 = 252,304.22 : x
  2. Step 2: Convert to fraction form
    413,355.60/570,492.98 = 252,304.22/x
  3. Step 3: Cross multiply
    413,355.60x = 570,492.98 × 252,304.22
  4. Step 4: Simplify right side
    413,355.60x = 143,937,786,334.38
  5. Step 5: Solve for x
    x = 143,937,786,334.38/413,355.60
  6. Step 6: Final answer
    x = 348,217.82

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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.