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Finding the Fourth Proportional to 709,200, 1,063,797.57 and 176,721.40

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Solution

The fourth proportional to 709,200, 1,063,797.57 and 176,721.40 is: 265,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,200 : 1,063,797.57 = 176,721.40 : x
  2. Step 2: Convert to fraction form
    709,200/1,063,797.57 = 176,721.40/x
  3. Step 3: Cross multiply
    709,200x = 1,063,797.57 × 176,721.40
  4. Step 4: Simplify right side
    709,200x = 187,995,795,887.00
  5. Step 5: Solve for x
    x = 187,995,795,887.00/709,200
  6. Step 6: Final answer
    x = 265,081.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.