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Finding the Fourth Proportional to 661,893.84, 913,730.76 and 407,463.12

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Solution

The fourth proportional to 661,893.84, 913,730.76 and 407,463.12 is: 562,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,893.84 : 913,730.76 = 407,463.12 : x
  2. Step 2: Convert to fraction form
    661,893.84/913,730.76 = 407,463.12/x
  3. Step 3: Cross multiply
    661,893.84x = 913,730.76 × 407,463.12
  4. Step 4: Simplify right side
    661,893.84x = 372,311,586,309.57
  5. Step 5: Solve for x
    x = 372,311,586,309.57/661,893.84
  6. Step 6: Final answer
    x = 562,494.41

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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.