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Finding the Fourth Proportional to 507,892.28, 700,897.05 and 290,129.79

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Solution

The fourth proportional to 507,892.28, 700,897.05 and 290,129.79 is: 400,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,892.28 : 700,897.05 = 290,129.79 : x
  2. Step 2: Convert to fraction form
    507,892.28/700,897.05 = 290,129.79/x
  3. Step 3: Cross multiply
    507,892.28x = 700,897.05 × 290,129.79
  4. Step 4: Simplify right side
    507,892.28x = 203,351,113,928.12
  5. Step 5: Solve for x
    x = 203,351,113,928.12/507,892.28
  6. Step 6: Final answer
    x = 400,382.37

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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.