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Finding the Fourth Proportional to 601,294.32, 827,897.76 and 510,462

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Solution

The fourth proportional to 601,294.32, 827,897.76 and 510,462 is: 702,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,294.32 : 827,897.76 = 510,462 : x
  2. Step 2: Convert to fraction form
    601,294.32/827,897.76 = 510,462/x
  3. Step 3: Cross multiply
    601,294.32x = 827,897.76 × 510,462
  4. Step 4: Simplify right side
    601,294.32x = 422,610,346,365.12
  5. Step 5: Solve for x
    x = 422,610,346,365.12/601,294.32
  6. Step 6: Final answer
    x = 702,834.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.