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Finding the Fourth Proportional to 403,223.40, 604,835.10 and 397,002.60

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Solution

The fourth proportional to 403,223.40, 604,835.10 and 397,002.60 is: 595,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,223.40 : 604,835.10 = 397,002.60 : x
  2. Step 2: Convert to fraction form
    403,223.40/604,835.10 = 397,002.60/x
  3. Step 3: Cross multiply
    403,223.40x = 604,835.10 × 397,002.60
  4. Step 4: Simplify right side
    403,223.40x = 240,121,107,271.26
  5. Step 5: Solve for x
    x = 240,121,107,271.26/403,223.40
  6. Step 6: Final answer
    x = 595,503.90

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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.