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Finding the Fourth Proportional to 703,663.74, 971,055.54 and 413,217.72

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Solution

The fourth proportional to 703,663.74, 971,055.54 and 413,217.72 is: 570,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,663.74 : 971,055.54 = 413,217.72 : x
  2. Step 2: Convert to fraction form
    703,663.74/971,055.54 = 413,217.72/x
  3. Step 3: Cross multiply
    703,663.74x = 971,055.54 × 413,217.72
  4. Step 4: Simplify right side
    703,663.74x = 401,257,356,232.17
  5. Step 5: Solve for x
    x = 401,257,356,232.17/703,663.74
  6. Step 6: Final answer
    x = 570,240.21

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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.