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Finding the Fourth Proportional to 417,109, 575,607 and 226,117.48

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Solution

The fourth proportional to 417,109, 575,607 and 226,117.48 is: 312,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,109 : 575,607 = 226,117.48 : x
  2. Step 2: Convert to fraction form
    417,109/575,607 = 226,117.48/x
  3. Step 3: Cross multiply
    417,109x = 575,607 × 226,117.48
  4. Step 4: Simplify right side
    417,109x = 130,154,804,310.36
  5. Step 5: Solve for x
    x = 130,154,804,310.36/417,109
  6. Step 6: Final answer
    x = 312,040.27

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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.