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Finding the Fourth Proportional to 403,822.70, 604,421.85 and 403,822.70

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Solution

The fourth proportional to 403,822.70, 604,421.85 and 403,822.70 is: 604,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,822.70 : 604,421.85 = 403,822.70 : x
  2. Step 2: Convert to fraction form
    403,822.70/604,421.85 = 403,822.70/x
  3. Step 3: Cross multiply
    403,822.70x = 604,421.85 × 403,822.70
  4. Step 4: Simplify right side
    403,822.70x = 244,079,263,406.00
  5. Step 5: Solve for x
    x = 244,079,263,406.00/403,822.70
  6. Step 6: Final answer
    x = 604,421.85

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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.