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Finding the Fourth Proportional to 299,416.02, 413,263.58 and 197,459.88

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Solution

The fourth proportional to 299,416.02, 413,263.58 and 197,459.88 is: 272,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,416.02 : 413,263.58 = 197,459.88 : x
  2. Step 2: Convert to fraction form
    299,416.02/413,263.58 = 197,459.88/x
  3. Step 3: Cross multiply
    299,416.02x = 413,263.58 × 197,459.88
  4. Step 4: Simplify right side
    299,416.02x = 81,602,975,927.87
  5. Step 5: Solve for x
    x = 81,602,975,927.87/299,416.02
  6. Step 6: Final answer
    x = 272,540.45

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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.