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Finding the Fourth Proportional to 416,814.31, 575,202.63 and 225,828.19

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Solution

The fourth proportional to 416,814.31, 575,202.63 and 225,828.19 is: 311,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,814.31 : 575,202.63 = 225,828.19 : x
  2. Step 2: Convert to fraction form
    416,814.31/575,202.63 = 225,828.19/x
  3. Step 3: Cross multiply
    416,814.31x = 575,202.63 × 225,828.19
  4. Step 4: Simplify right side
    416,814.31x = 129,896,968,816.14
  5. Step 5: Solve for x
    x = 129,896,968,816.14/416,814.31
  6. Step 6: Final answer
    x = 311,642.30

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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.