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Finding the Fourth Proportional to 285,730.20, 399,497.40 and 285,730.20

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Solution

The fourth proportional to 285,730.20, 399,497.40 and 285,730.20 is: 399,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,730.20 : 399,497.40 = 285,730.20 : x
  2. Step 2: Convert to fraction form
    285,730.20/399,497.40 = 285,730.20/x
  3. Step 3: Cross multiply
    285,730.20x = 399,497.40 × 285,730.20
  4. Step 4: Simplify right side
    285,730.20x = 114,148,472,001.48
  5. Step 5: Solve for x
    x = 114,148,472,001.48/285,730.20
  6. Step 6: Final answer
    x = 399,497.40

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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.