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Finding the Fourth Proportional to 464,748.60, 696,086.10 and 381,804.60

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Solution

The fourth proportional to 464,748.60, 696,086.10 and 381,804.60 is: 571,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,748.60 : 696,086.10 = 381,804.60 : x
  2. Step 2: Convert to fraction form
    464,748.60/696,086.10 = 381,804.60/x
  3. Step 3: Cross multiply
    464,748.60x = 696,086.10 × 381,804.60
  4. Step 4: Simplify right side
    464,748.60x = 265,768,874,976.06
  5. Step 5: Solve for x
    x = 265,768,874,976.06/464,748.60
  6. Step 6: Final answer
    x = 571,855.14

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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.