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Finding the Fourth Proportional to 416,706.24, 575,056.08 and 225,719.04

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Solution

The fourth proportional to 416,706.24, 575,056.08 and 225,719.04 is: 311,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,706.24 : 575,056.08 = 225,719.04 : x
  2. Step 2: Convert to fraction form
    416,706.24/575,056.08 = 225,719.04/x
  3. Step 3: Cross multiply
    416,706.24x = 575,056.08 × 225,719.04
  4. Step 4: Simplify right side
    416,706.24x = 129,801,106,323.76
  5. Step 5: Solve for x
    x = 129,801,106,323.76/416,706.24
  6. Step 6: Final answer
    x = 311,493.07

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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.