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Finding the Fourth Proportional to 354,130.92, 531,362.16 and 176,651.64

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Solution

The fourth proportional to 354,130.92, 531,362.16 and 176,651.64 is: 265,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,130.92 : 531,362.16 = 176,651.64 : x
  2. Step 2: Convert to fraction form
    354,130.92/531,362.16 = 176,651.64/x
  3. Step 3: Cross multiply
    354,130.92x = 531,362.16 × 176,651.64
  4. Step 4: Simplify right side
    354,130.92x = 93,865,996,997.94
  5. Step 5: Solve for x
    x = 93,865,996,997.94/354,130.92
  6. Step 6: Final answer
    x = 265,060.16

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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.