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Finding the Fourth Proportional to 513,465.18, 770,199.93 and 337,088.22

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Solution

The fourth proportional to 513,465.18, 770,199.93 and 337,088.22 is: 505,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,465.18 : 770,199.93 = 337,088.22 : x
  2. Step 2: Convert to fraction form
    513,465.18/770,199.93 = 337,088.22/x
  3. Step 3: Cross multiply
    513,465.18x = 770,199.93 × 337,088.22
  4. Step 4: Simplify right side
    513,465.18x = 259,625,323,447.83
  5. Step 5: Solve for x
    x = 259,625,323,447.83/513,465.18
  6. Step 6: Final answer
    x = 505,633.75

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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.