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Finding the Fourth Proportional to 703,914.81, 971,389.75 and 397,985.91

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Solution

The fourth proportional to 703,914.81, 971,389.75 and 397,985.91 is: 549,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,914.81 : 971,389.75 = 397,985.91 : x
  2. Step 2: Convert to fraction form
    703,914.81/971,389.75 = 397,985.91/x
  3. Step 3: Cross multiply
    703,914.81x = 971,389.75 × 397,985.91
  4. Step 4: Simplify right side
    703,914.81x = 386,599,433,618.42
  5. Step 5: Solve for x
    x = 386,599,433,618.42/703,914.81
  6. Step 6: Final answer
    x = 549,213.38

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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.