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Finding the Fourth Proportional to 581,748.36, 802,150.83 and 409,611.30

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Solution

The fourth proportional to 581,748.36, 802,150.83 and 409,611.30 is: 564,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,748.36 : 802,150.83 = 409,611.30 : x
  2. Step 2: Convert to fraction form
    581,748.36/802,150.83 = 409,611.30/x
  3. Step 3: Cross multiply
    581,748.36x = 802,150.83 × 409,611.30
  4. Step 4: Simplify right side
    581,748.36x = 328,570,044,272.38
  5. Step 5: Solve for x
    x = 328,570,044,272.38/581,748.36
  6. Step 6: Final answer
    x = 564,797.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.