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Finding the Fourth Proportional to 930,888, 1,284,625.44 and 506,952

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Solution

The fourth proportional to 930,888, 1,284,625.44 and 506,952 is: 699,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,888 : 1,284,625.44 = 506,952 : x
  2. Step 2: Convert to fraction form
    930,888/1,284,625.44 = 506,952/x
  3. Step 3: Cross multiply
    930,888x = 1,284,625.44 × 506,952
  4. Step 4: Simplify right side
    930,888x = 651,243,436,058.88
  5. Step 5: Solve for x
    x = 651,243,436,058.88/930,888
  6. Step 6: Final answer
    x = 699,593.76

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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.