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Finding the Fourth Proportional to 514,726.61, 772,212.22 and 177,770.06

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Solution

The fourth proportional to 514,726.61, 772,212.22 and 177,770.06 is: 266,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,726.61 : 772,212.22 = 177,770.06 : x
  2. Step 2: Convert to fraction form
    514,726.61/772,212.22 = 177,770.06/x
  3. Step 3: Cross multiply
    514,726.61x = 772,212.22 × 177,770.06
  4. Step 4: Simplify right side
    514,726.61x = 137,276,208,376.65
  5. Step 5: Solve for x
    x = 137,276,208,376.65/514,726.61
  6. Step 6: Final answer
    x = 266,697.32

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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.