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Finding the Fourth Proportional to 283,030.02, 424,614.40 and 232,514.42

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Solution

The fourth proportional to 283,030.02, 424,614.40 and 232,514.42 is: 348,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,030.02 : 424,614.40 = 232,514.42 : x
  2. Step 2: Convert to fraction form
    283,030.02/424,614.40 = 232,514.42/x
  3. Step 3: Cross multiply
    283,030.02x = 424,614.40 × 232,514.42
  4. Step 4: Simplify right side
    283,030.02x = 98,728,970,939.65
  5. Step 5: Solve for x
    x = 98,728,970,939.65/283,030.02
  6. Step 6: Final answer
    x = 348,828.62

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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.