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Finding the Fourth Proportional to 556,816.28, 835,328.30 and 257,098.86

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Solution

The fourth proportional to 556,816.28, 835,328.30 and 257,098.86 is: 385,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,816.28 : 835,328.30 = 257,098.86 : x
  2. Step 2: Convert to fraction form
    556,816.28/835,328.30 = 257,098.86/x
  3. Step 3: Cross multiply
    556,816.28x = 835,328.30 × 257,098.86
  4. Step 4: Simplify right side
    556,816.28x = 214,761,952,370.24
  5. Step 5: Solve for x
    x = 214,761,952,370.24/556,816.28
  6. Step 6: Final answer
    x = 385,696.26

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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.