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Finding the Fourth Proportional to 652,351.84, 900,275.83 and 407,481.57

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Solution

The fourth proportional to 652,351.84, 900,275.83 and 407,481.57 is: 562,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,351.84 : 900,275.83 = 407,481.57 : x
  2. Step 2: Convert to fraction form
    652,351.84/900,275.83 = 407,481.57/x
  3. Step 3: Cross multiply
    652,351.84x = 900,275.83 × 407,481.57
  4. Step 4: Simplify right side
    652,351.84x = 366,845,807,622.75
  5. Step 5: Solve for x
    x = 366,845,807,622.75/652,351.84
  6. Step 6: Final answer
    x = 562,343.49

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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.