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Finding the Fourth Proportional to 316,816.72, 475,409.76 and 117,275.92

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Solution

The fourth proportional to 316,816.72, 475,409.76 and 117,275.92 is: 175,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,816.72 : 475,409.76 = 117,275.92 : x
  2. Step 2: Convert to fraction form
    316,816.72/475,409.76 = 117,275.92/x
  3. Step 3: Cross multiply
    316,816.72x = 475,409.76 × 117,275.92
  4. Step 4: Simplify right side
    316,816.72x = 55,754,116,980.98
  5. Step 5: Solve for x
    x = 55,754,116,980.98/316,816.72
  6. Step 6: Final answer
    x = 175,982.24

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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.