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Finding the Fourth Proportional to 529,564.80, 730,798.08 and 287,847.36

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Solution

The fourth proportional to 529,564.80, 730,798.08 and 287,847.36 is: 397,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,564.80 : 730,798.08 = 287,847.36 : x
  2. Step 2: Convert to fraction form
    529,564.80/730,798.08 = 287,847.36/x
  3. Step 3: Cross multiply
    529,564.80x = 730,798.08 × 287,847.36
  4. Step 4: Simplify right side
    529,564.80x = 210,358,298,021.07
  5. Step 5: Solve for x
    x = 210,358,298,021.07/529,564.80
  6. Step 6: Final answer
    x = 397,228.63

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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.