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Finding the Fourth Proportional to 285,411.40, 393,866.76 and 164,552.02

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Solution

The fourth proportional to 285,411.40, 393,866.76 and 164,552.02 is: 227,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,411.40 : 393,866.76 = 164,552.02 : x
  2. Step 2: Convert to fraction form
    285,411.40/393,866.76 = 164,552.02/x
  3. Step 3: Cross multiply
    285,411.40x = 393,866.76 × 164,552.02
  4. Step 4: Simplify right side
    285,411.40x = 64,811,570,968.86
  5. Step 5: Solve for x
    x = 64,811,570,968.86/285,411.40
  6. Step 6: Final answer
    x = 227,081.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.