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Finding the Fourth Proportional to 553,311.83, 829,997.16 and 174,262.20

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Solution

The fourth proportional to 553,311.83, 829,997.16 and 174,262.20 is: 261,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,311.83 : 829,997.16 = 174,262.20 : x
  2. Step 2: Convert to fraction form
    553,311.83/829,997.16 = 174,262.20/x
  3. Step 3: Cross multiply
    553,311.83x = 829,997.16 × 174,262.20
  4. Step 4: Simplify right side
    553,311.83x = 144,637,131,095.35
  5. Step 5: Solve for x
    x = 144,637,131,095.35/553,311.83
  6. Step 6: Final answer
    x = 261,402.57

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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.