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Finding the Fourth Proportional to 415,490.16, 623,340 and 115,970.40

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Solution

The fourth proportional to 415,490.16, 623,340 and 115,970.40 is: 173,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,490.16 : 623,340 = 115,970.40 : x
  2. Step 2: Convert to fraction form
    415,490.16/623,340 = 115,970.40/x
  3. Step 3: Cross multiply
    415,490.16x = 623,340 × 115,970.40
  4. Step 4: Simplify right side
    415,490.16x = 72,288,989,136
  5. Step 5: Solve for x
    x = 72,288,989,136/415,490.16
  6. Step 6: Final answer
    x = 173,984.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.