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Finding the Fourth Proportional to 586,352.26, 809,829.12 and 395,033.50

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Solution

The fourth proportional to 586,352.26, 809,829.12 and 395,033.50 is: 545,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,352.26 : 809,829.12 = 395,033.50 : x
  2. Step 2: Convert to fraction form
    586,352.26/809,829.12 = 395,033.50/x
  3. Step 3: Cross multiply
    586,352.26x = 809,829.12 × 395,033.50
  4. Step 4: Simplify right side
    586,352.26x = 319,909,631,675.52
  5. Step 5: Solve for x
    x = 319,909,631,675.52/586,352.26
  6. Step 6: Final answer
    x = 545,592.90

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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.