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Finding the Fourth Proportional to 297,108.76, 409,877.40 and 176,255.14

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Solution

The fourth proportional to 297,108.76, 409,877.40 and 176,255.14 is: 243,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,108.76 : 409,877.40 = 176,255.14 : x
  2. Step 2: Convert to fraction form
    297,108.76/409,877.40 = 176,255.14/x
  3. Step 3: Cross multiply
    297,108.76x = 409,877.40 × 176,255.14
  4. Step 4: Simplify right side
    297,108.76x = 72,242,998,519.84
  5. Step 5: Solve for x
    x = 72,242,998,519.84/297,108.76
  6. Step 6: Final answer
    x = 243,153.38

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1.5x scale

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.