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Finding the Fourth Proportional to 413,625.70, 577,895 and 413,625.70

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Solution

The fourth proportional to 413,625.70, 577,895 and 413,625.70 is: 577,895

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,625.70 : 577,895 = 413,625.70 : x
  2. Step 2: Convert to fraction form
    413,625.70/577,895 = 413,625.70/x
  3. Step 3: Cross multiply
    413,625.70x = 577,895 × 413,625.70
  4. Step 4: Simplify right side
    413,625.70x = 239,032,223,901.50
  5. Step 5: Solve for x
    x = 239,032,223,901.50/413,625.70
  6. Step 6: Final answer
    x = 577,895

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.