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Finding the Fourth Proportional to 274,877.16, 411,926.94 and 116,946.60

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Solution

The fourth proportional to 274,877.16, 411,926.94 and 116,946.60 is: 175,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,877.16 : 411,926.94 = 116,946.60 : x
  2. Step 2: Convert to fraction form
    274,877.16/411,926.94 = 116,946.60/x
  3. Step 3: Cross multiply
    274,877.16x = 411,926.94 × 116,946.60
  4. Step 4: Simplify right side
    274,877.16x = 48,173,455,081.40
  5. Step 5: Solve for x
    x = 48,173,455,081.40/274,877.16
  6. Step 6: Final answer
    x = 175,254.48

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Why These Related Problems?

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