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Finding the Fourth Proportional to 407,185.68, 610,459.13 and 257,110.67

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Solution

The fourth proportional to 407,185.68, 610,459.13 and 257,110.67 is: 385,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,185.68 : 610,459.13 = 257,110.67 : x
  2. Step 2: Convert to fraction form
    407,185.68/610,459.13 = 257,110.67/x
  3. Step 3: Cross multiply
    407,185.68x = 610,459.13 × 257,110.67
  4. Step 4: Simplify right side
    407,185.68x = 156,955,555,515.47
  5. Step 5: Solve for x
    x = 156,955,555,515.47/407,185.68
  6. Step 6: Final answer
    x = 385,464.33

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1.5x scale

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.