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Finding the Fourth Proportional to 460,144.32, 634,901.55 and 290,280

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Solution

The fourth proportional to 460,144.32, 634,901.55 and 290,280 is: 400,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,144.32 : 634,901.55 = 290,280 : x
  2. Step 2: Convert to fraction form
    460,144.32/634,901.55 = 290,280/x
  3. Step 3: Cross multiply
    460,144.32x = 634,901.55 × 290,280
  4. Step 4: Simplify right side
    460,144.32x = 184,299,221,934
  5. Step 5: Solve for x
    x = 184,299,221,934/460,144.32
  6. Step 6: Final answer
    x = 400,524.82

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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.