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Finding the Fourth Proportional to 472,417, 651,935.46 and 260,449

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Solution

The fourth proportional to 472,417, 651,935.46 and 260,449 is: 359,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,417 : 651,935.46 = 260,449 : x
  2. Step 2: Convert to fraction form
    472,417/651,935.46 = 260,449/x
  3. Step 3: Cross multiply
    472,417x = 651,935.46 × 260,449
  4. Step 4: Simplify right side
    472,417x = 169,795,938,621.54
  5. Step 5: Solve for x
    x = 169,795,938,621.54/472,417
  6. Step 6: Final answer
    x = 359,419.62

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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.