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Finding the Fourth Proportional to 653,574.09, 901,914.23 and 363,178.16

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Solution

The fourth proportional to 653,574.09, 901,914.23 and 363,178.16 is: 501,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,574.09 : 901,914.23 = 363,178.16 : x
  2. Step 2: Convert to fraction form
    653,574.09/901,914.23 = 363,178.16/x
  3. Step 3: Cross multiply
    653,574.09x = 901,914.23 × 363,178.16
  4. Step 4: Simplify right side
    653,574.09x = 327,555,544,203.76
  5. Step 5: Solve for x
    x = 327,555,544,203.76/653,574.09
  6. Step 6: Final answer
    x = 501,175.84

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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.