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Finding the Fourth Proportional to 577,184.76, 865,696.01 and 198,099.32

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Solution

The fourth proportional to 577,184.76, 865,696.01 and 198,099.32 is: 297,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,184.76 : 865,696.01 = 198,099.32 : x
  2. Step 2: Convert to fraction form
    577,184.76/865,696.01 = 198,099.32/x
  3. Step 3: Cross multiply
    577,184.76x = 865,696.01 × 198,099.32
  4. Step 4: Simplify right side
    577,184.76x = 171,493,785,588.74
  5. Step 5: Solve for x
    x = 171,493,785,588.74/577,184.76
  6. Step 6: Final answer
    x = 297,121.13

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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.