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Finding the Fourth Proportional to 283,389.80, 424,100.55 and 194,816.30

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Solution

The fourth proportional to 283,389.80, 424,100.55 and 194,816.30 is: 291,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,389.80 : 424,100.55 = 194,816.30 : x
  2. Step 2: Convert to fraction form
    283,389.80/424,100.55 = 194,816.30/x
  3. Step 3: Cross multiply
    283,389.80x = 424,100.55 × 194,816.30
  4. Step 4: Simplify right side
    283,389.80x = 82,621,699,978.97
  5. Step 5: Solve for x
    x = 82,621,699,978.97/283,389.80
  6. Step 6: Final answer
    x = 291,547.90

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1.5x scale

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.