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Finding the Fourth Proportional to 640,499.40, 959,712.30 and 403,417.80

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Solution

The fourth proportional to 640,499.40, 959,712.30 and 403,417.80 is: 604,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,499.40 : 959,712.30 = 403,417.80 : x
  2. Step 2: Convert to fraction form
    640,499.40/959,712.30 = 403,417.80/x
  3. Step 3: Cross multiply
    640,499.40x = 959,712.30 × 403,417.80
  4. Step 4: Simplify right side
    640,499.40x = 387,165,024,698.94
  5. Step 5: Solve for x
    x = 387,165,024,698.94/640,499.40
  6. Step 6: Final answer
    x = 604,473.67

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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.