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Finding the Fourth Proportional to 653,509.37, 901,867.80 and 363,142.48

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Solution

The fourth proportional to 653,509.37, 901,867.80 and 363,142.48 is: 501,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,509.37 : 901,867.80 = 363,142.48 : x
  2. Step 2: Convert to fraction form
    653,509.37/901,867.80 = 363,142.48/x
  3. Step 3: Cross multiply
    653,509.37x = 901,867.80 × 363,142.48
  4. Step 4: Simplify right side
    653,509.37x = 327,506,509,524.14
  5. Step 5: Solve for x
    x = 327,506,509,524.14/653,509.37
  6. Step 6: Final answer
    x = 501,150.44

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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.