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Finding the Fourth Proportional to 406,796.74, 561,441.63 and 259,685.14

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Solution

The fourth proportional to 406,796.74, 561,441.63 and 259,685.14 is: 358,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,796.74 : 561,441.63 = 259,685.14 : x
  2. Step 2: Convert to fraction form
    406,796.74/561,441.63 = 259,685.14/x
  3. Step 3: Cross multiply
    406,796.74x = 561,441.63 × 259,685.14
  4. Step 4: Simplify right side
    406,796.74x = 145,798,048,288.38
  5. Step 5: Solve for x
    x = 145,798,048,288.38/406,796.74
  6. Step 6: Final answer
    x = 358,405.15

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1.5x scale

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.