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Finding the Fourth Proportional to 473,305.20, 709,804.56 and 157,688.40

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Solution

The fourth proportional to 473,305.20, 709,804.56 and 157,688.40 is: 236,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,305.20 : 709,804.56 = 157,688.40 : x
  2. Step 2: Convert to fraction form
    473,305.20/709,804.56 = 157,688.40/x
  3. Step 3: Cross multiply
    473,305.20x = 709,804.56 × 157,688.40
  4. Step 4: Simplify right side
    473,305.20x = 111,927,945,379.10
  5. Step 5: Solve for x
    x = 111,927,945,379.10/473,305.20
  6. Step 6: Final answer
    x = 236,481.55

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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.