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Finding the Fourth Proportional to 475,806.96, 713,666.16 and 176,290.56

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Solution

The fourth proportional to 475,806.96, 713,666.16 and 176,290.56 is: 264,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,806.96 : 713,666.16 = 176,290.56 : x
  2. Step 2: Convert to fraction form
    475,806.96/713,666.16 = 176,290.56/x
  3. Step 3: Cross multiply
    475,806.96x = 713,666.16 × 176,290.56
  4. Step 4: Simplify right side
    475,806.96x = 125,812,606,999.45
  5. Step 5: Solve for x
    x = 125,812,606,999.45/475,806.96
  6. Step 6: Final answer
    x = 264,419.43

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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.