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Finding the Fourth Proportional to 417,812.49, 627,161.54 and 260,151.93

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Solution

The fourth proportional to 417,812.49, 627,161.54 and 260,151.93 is: 390,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,812.49 : 627,161.54 = 260,151.93 : x
  2. Step 2: Convert to fraction form
    417,812.49/627,161.54 = 260,151.93/x
  3. Step 3: Cross multiply
    417,812.49x = 627,161.54 × 260,151.93
  4. Step 4: Simplify right side
    417,812.49x = 163,157,283,752.01
  5. Step 5: Solve for x
    x = 163,157,283,752.01/417,812.49
  6. Step 6: Final answer
    x = 390,503.61

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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.