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Finding the Fourth Proportional to 299,416.77, 413,264.61 and 197,460.63

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Solution

The fourth proportional to 299,416.77, 413,264.61 and 197,460.63 is: 272,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,416.77 : 413,264.61 = 197,460.63 : x
  2. Step 2: Convert to fraction form
    299,416.77/413,264.61 = 197,460.63/x
  3. Step 3: Cross multiply
    299,416.77x = 413,264.61 × 197,460.63
  4. Step 4: Simplify right side
    299,416.77x = 81,603,490,247.30
  5. Step 5: Solve for x
    x = 81,603,490,247.30/299,416.77
  6. Step 6: Final answer
    x = 272,541.48

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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.