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Finding the Fourth Proportional to 277,457.32, 416,204.76 and 97,520.86

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Solution

The fourth proportional to 277,457.32, 416,204.76 and 97,520.86 is: 146,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,457.32 : 416,204.76 = 97,520.86 : x
  2. Step 2: Convert to fraction form
    277,457.32/416,204.76 = 97,520.86/x
  3. Step 3: Cross multiply
    277,457.32x = 416,204.76 × 97,520.86
  4. Step 4: Simplify right side
    277,457.32x = 40,588,646,131.29
  5. Step 5: Solve for x
    x = 40,588,646,131.29/277,457.32
  6. Step 6: Final answer
    x = 146,287.89

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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.