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Finding the Fourth Proportional to 406,205.58, 609,432.93 and 181,754.94

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Solution

The fourth proportional to 406,205.58, 609,432.93 and 181,754.94 is: 272,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,205.58 : 609,432.93 = 181,754.94 : x
  2. Step 2: Convert to fraction form
    406,205.58/609,432.93 = 181,754.94/x
  3. Step 3: Cross multiply
    406,205.58x = 609,432.93 × 181,754.94
  4. Step 4: Simplify right side
    406,205.58x = 110,767,445,626.17
  5. Step 5: Solve for x
    x = 110,767,445,626.17/406,205.58
  6. Step 6: Final answer
    x = 272,688.14

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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.