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Finding the Fourth Proportional to 507,268.34, 760,916.50 and 152,282.48

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Solution

The fourth proportional to 507,268.34, 760,916.50 and 152,282.48 is: 228,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,268.34 : 760,916.50 = 152,282.48 : x
  2. Step 2: Convert to fraction form
    507,268.34/760,916.50 = 152,282.48/x
  3. Step 3: Cross multiply
    507,268.34x = 760,916.50 × 152,282.48
  4. Step 4: Simplify right side
    507,268.34x = 115,874,251,692.92
  5. Step 5: Solve for x
    x = 115,874,251,692.92/507,268.34
  6. Step 6: Final answer
    x = 228,427.92

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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.