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Finding the Fourth Proportional to 320,605.60, 442,356.24 and 207,292

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Solution

The fourth proportional to 320,605.60, 442,356.24 and 207,292 is: 286,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,605.60 : 442,356.24 = 207,292 : x
  2. Step 2: Convert to fraction form
    320,605.60/442,356.24 = 207,292/x
  3. Step 3: Cross multiply
    320,605.60x = 442,356.24 × 207,292
  4. Step 4: Simplify right side
    320,605.60x = 91,696,909,702.08
  5. Step 5: Solve for x
    x = 91,696,909,702.08/320,605.60
  6. Step 6: Final answer
    x = 286,011.57

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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.