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Finding the Fourth Proportional to 413,596.16, 570,617.35 and 270,440.00

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Solution

The fourth proportional to 413,596.16, 570,617.35 and 270,440.00 is: 373,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,596.16 : 570,617.35 = 270,440.00 : x
  2. Step 2: Convert to fraction form
    413,596.16/570,617.35 = 270,440.00/x
  3. Step 3: Cross multiply
    413,596.16x = 570,617.35 × 270,440.00
  4. Step 4: Simplify right side
    413,596.16x = 154,317,752,604.81
  5. Step 5: Solve for x
    x = 154,317,752,604.81/413,596.16
  6. Step 6: Final answer
    x = 373,112.15

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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.