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Finding the Fourth Proportional to 386,214.50, 579,322.56 and 164,598.50

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Solution

The fourth proportional to 386,214.50, 579,322.56 and 164,598.50 is: 246,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,214.50 : 579,322.56 = 164,598.50 : x
  2. Step 2: Convert to fraction form
    386,214.50/579,322.56 = 164,598.50/x
  3. Step 3: Cross multiply
    386,214.50x = 579,322.56 × 164,598.50
  4. Step 4: Simplify right side
    386,214.50x = 95,355,624,392.16
  5. Step 5: Solve for x
    x = 95,355,624,392.16/386,214.50
  6. Step 6: Final answer
    x = 246,898.10

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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.