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Finding the Fourth Proportional to 364,398.87, 546,598.31 and 186,792.60

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Solution

The fourth proportional to 364,398.87, 546,598.31 and 186,792.60 is: 280,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,398.87 : 546,598.31 = 186,792.60 : x
  2. Step 2: Convert to fraction form
    364,398.87/546,598.31 = 186,792.60/x
  3. Step 3: Cross multiply
    364,398.87x = 546,598.31 × 186,792.60
  4. Step 4: Simplify right side
    364,398.87x = 102,100,518,572.38
  5. Step 5: Solve for x
    x = 102,100,518,572.38/364,398.87
  6. Step 6: Final answer
    x = 280,188.90

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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.