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Finding the Fourth Proportional to 585,764.02, 877,737.22 and 406,199.70

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Solution

The fourth proportional to 585,764.02, 877,737.22 and 406,199.70 is: 608,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,764.02 : 877,737.22 = 406,199.70 : x
  2. Step 2: Convert to fraction form
    585,764.02/877,737.22 = 406,199.70/x
  3. Step 3: Cross multiply
    585,764.02x = 877,737.22 × 406,199.70
  4. Step 4: Simplify right side
    585,764.02x = 356,536,593,411.84
  5. Step 5: Solve for x
    x = 356,536,593,411.84/585,764.02
  6. Step 6: Final answer
    x = 608,669.33

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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.