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Finding the Fourth Proportional to 435,502.56, 652,113.36 and 285,270.24

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Solution

The fourth proportional to 435,502.56, 652,113.36 and 285,270.24 is: 427,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,502.56 : 652,113.36 = 285,270.24 : x
  2. Step 2: Convert to fraction form
    435,502.56/652,113.36 = 285,270.24/x
  3. Step 3: Cross multiply
    435,502.56x = 652,113.36 × 285,270.24
  4. Step 4: Simplify right side
    435,502.56x = 186,028,534,714.41
  5. Step 5: Solve for x
    x = 186,028,534,714.41/435,502.56
  6. Step 6: Final answer
    x = 427,158.30

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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.