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Finding the Fourth Proportional to 534,698.16, 801,780.36 and 174,822.13

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Solution

The fourth proportional to 534,698.16, 801,780.36 and 174,822.13 is: 262,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,698.16 : 801,780.36 = 174,822.13 : x
  2. Step 2: Convert to fraction form
    534,698.16/801,780.36 = 174,822.13/x
  3. Step 3: Cross multiply
    534,698.16x = 801,780.36 × 174,822.13
  4. Step 4: Simplify right side
    534,698.16x = 140,168,950,327.37
  5. Step 5: Solve for x
    x = 140,168,950,327.37/534,698.16
  6. Step 6: Final answer
    x = 262,145.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.