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Finding the Fourth Proportional to 308,312.64, 462,153.78 and 174,911.16

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Solution

The fourth proportional to 308,312.64, 462,153.78 and 174,911.16 is: 262,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,312.64 : 462,153.78 = 174,911.16 : x
  2. Step 2: Convert to fraction form
    308,312.64/462,153.78 = 174,911.16/x
  3. Step 3: Cross multiply
    308,312.64x = 462,153.78 × 174,911.16
  4. Step 4: Simplify right side
    308,312.64x = 80,835,853,758.18
  5. Step 5: Solve for x
    x = 80,835,853,758.18/308,312.64
  6. Step 6: Final answer
    x = 262,187.93

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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.