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Finding the Fourth Proportional to 416,817.90, 575,209.25 and 225,831.14

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Solution

The fourth proportional to 416,817.90, 575,209.25 and 225,831.14 is: 311,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,817.90 : 575,209.25 = 225,831.14 : x
  2. Step 2: Convert to fraction form
    416,817.90/575,209.25 = 225,831.14/x
  3. Step 3: Cross multiply
    416,817.90x = 575,209.25 × 225,831.14
  4. Step 4: Simplify right side
    416,817.90x = 129,900,159,664.75
  5. Step 5: Solve for x
    x = 129,900,159,664.75/416,817.90
  6. Step 6: Final answer
    x = 311,647.27

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1.5x scale

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.