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Finding the Fourth Proportional to 613,913.84, 847,552.26 and 407,462.22

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Solution

The fourth proportional to 613,913.84, 847,552.26 and 407,462.22 is: 562,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,913.84 : 847,552.26 = 407,462.22 : x
  2. Step 2: Convert to fraction form
    613,913.84/847,552.26 = 407,462.22/x
  3. Step 3: Cross multiply
    613,913.84x = 847,552.26 × 407,462.22
  4. Step 4: Simplify right side
    613,913.84x = 345,345,525,425.62
  5. Step 5: Solve for x
    x = 345,345,525,425.62/613,913.84
  6. Step 6: Final answer
    x = 562,530.93

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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.