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Finding the Fourth Proportional to 416,738.94, 575,101.50 and 225,752.33

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Solution

The fourth proportional to 416,738.94, 575,101.50 and 225,752.33 is: 311,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,738.94 : 575,101.50 = 225,752.33 : x
  2. Step 2: Convert to fraction form
    416,738.94/575,101.50 = 225,752.33/x
  3. Step 3: Cross multiply
    416,738.94x = 575,101.50 × 225,752.33
  4. Step 4: Simplify right side
    416,738.94x = 129,830,499,607.23
  5. Step 5: Solve for x
    x = 129,830,499,607.23/416,738.94
  6. Step 6: Final answer
    x = 311,539.16

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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.