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Finding the Fourth Proportional to 535,490.94, 802,142.91 and 298,959.60

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Solution

The fourth proportional to 535,490.94, 802,142.91 and 298,959.60 is: 447,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,490.94 : 802,142.91 = 298,959.60 : x
  2. Step 2: Convert to fraction form
    535,490.94/802,142.91 = 298,959.60/x
  3. Step 3: Cross multiply
    535,490.94x = 802,142.91 × 298,959.60
  4. Step 4: Simplify right side
    535,490.94x = 239,808,323,516.44
  5. Step 5: Solve for x
    x = 239,808,323,516.44/535,490.94
  6. Step 6: Final answer
    x = 447,828.91

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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.