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Finding the Fourth Proportional to 460,970.92, 634,692.31 and 391,924.60

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Solution

The fourth proportional to 460,970.92, 634,692.31 and 391,924.60 is: 539,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,970.92 : 634,692.31 = 391,924.60 : x
  2. Step 2: Convert to fraction form
    460,970.92/634,692.31 = 391,924.60/x
  3. Step 3: Cross multiply
    460,970.92x = 634,692.31 × 391,924.60
  4. Step 4: Simplify right side
    460,970.92x = 248,751,529,719.83
  5. Step 5: Solve for x
    x = 248,751,529,719.83/460,970.92
  6. Step 6: Final answer
    x = 539,625.21

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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.