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Finding the Fourth Proportional to 730,005, 1,095,007.50 and 231,369

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Solution

The fourth proportional to 730,005, 1,095,007.50 and 231,369 is: 347,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,005 : 1,095,007.50 = 231,369 : x
  2. Step 2: Convert to fraction form
    730,005/1,095,007.50 = 231,369/x
  3. Step 3: Cross multiply
    730,005x = 1,095,007.50 × 231,369
  4. Step 4: Simplify right side
    730,005x = 253,350,790,267.50
  5. Step 5: Solve for x
    x = 253,350,790,267.50/730,005
  6. Step 6: Final answer
    x = 347,053.50

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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.