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Finding the Fourth Proportional to 227,582.10, 318,024.45 and 227,582.10

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Solution

The fourth proportional to 227,582.10, 318,024.45 and 227,582.10 is: 318,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,582.10 : 318,024.45 = 227,582.10 : x
  2. Step 2: Convert to fraction form
    227,582.10/318,024.45 = 227,582.10/x
  3. Step 3: Cross multiply
    227,582.10x = 318,024.45 × 227,582.10
  4. Step 4: Simplify right side
    227,582.10x = 72,376,672,182.35
  5. Step 5: Solve for x
    x = 72,376,672,182.35/227,582.10
  6. Step 6: Final answer
    x = 318,024.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.