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Finding the Fourth Proportional to 283,659.90, 424,971.45 and 230,783.10

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Solution

The fourth proportional to 283,659.90, 424,971.45 and 230,783.10 is: 345,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,659.90 : 424,971.45 = 230,783.10 : x
  2. Step 2: Convert to fraction form
    283,659.90/424,971.45 = 230,783.10/x
  3. Step 3: Cross multiply
    283,659.90x = 424,971.45 × 230,783.10
  4. Step 4: Simplify right side
    283,659.90x = 98,076,228,642.50
  5. Step 5: Solve for x
    x = 98,076,228,642.50/283,659.90
  6. Step 6: Final answer
    x = 345,752.88

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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.