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Finding the Fourth Proportional to 417,196.07, 575,725.02 and 226,205.36

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Solution

The fourth proportional to 417,196.07, 575,725.02 and 226,205.36 is: 312,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,196.07 : 575,725.02 = 226,205.36 : x
  2. Step 2: Convert to fraction form
    417,196.07/575,725.02 = 226,205.36/x
  3. Step 3: Cross multiply
    417,196.07x = 575,725.02 × 226,205.36
  4. Step 4: Simplify right side
    417,196.07x = 130,232,085,410.11
  5. Step 5: Solve for x
    x = 130,232,085,410.11/417,196.07
  6. Step 6: Final answer
    x = 312,160.38

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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.