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Finding the Fourth Proportional to 406,594, 561,099.76 and 247,618

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Solution

The fourth proportional to 406,594, 561,099.76 and 247,618 is: 341,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,594 : 561,099.76 = 247,618 : x
  2. Step 2: Convert to fraction form
    406,594/561,099.76 = 247,618/x
  3. Step 3: Cross multiply
    406,594x = 561,099.76 × 247,618
  4. Step 4: Simplify right side
    406,594x = 138,938,400,371.68
  5. Step 5: Solve for x
    x = 138,938,400,371.68/406,594
  6. Step 6: Final answer
    x = 341,712.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.