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Finding the Fourth Proportional to 924,792.84, 1,387,976.58 and 364,221

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Solution

The fourth proportional to 924,792.84, 1,387,976.58 and 364,221 is: 546,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,792.84 : 1,387,976.58 = 364,221 : x
  2. Step 2: Convert to fraction form
    924,792.84/1,387,976.58 = 364,221/x
  3. Step 3: Cross multiply
    924,792.84x = 1,387,976.58 × 364,221
  4. Step 4: Simplify right side
    924,792.84x = 505,530,217,944.18
  5. Step 5: Solve for x
    x = 505,530,217,944.18/924,792.84
  6. Step 6: Final answer
    x = 546,641.58

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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.