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Finding the Fourth Proportional to 417,159.36, 575,674.56 and 226,172.16

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Solution

The fourth proportional to 417,159.36, 575,674.56 and 226,172.16 is: 312,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,159.36 : 575,674.56 = 226,172.16 : x
  2. Step 2: Convert to fraction form
    417,159.36/575,674.56 = 226,172.16/x
  3. Step 3: Cross multiply
    417,159.36x = 575,674.56 × 226,172.16
  4. Step 4: Simplify right side
    417,159.36x = 130,201,558,692.25
  5. Step 5: Solve for x
    x = 130,201,558,692.25/417,159.36
  6. Step 6: Final answer
    x = 312,114.68

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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.