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Finding the Fourth Proportional to 523,770.13, 722,748.93 and 294,290.96

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Solution

The fourth proportional to 523,770.13, 722,748.93 and 294,290.96 is: 406,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,770.13 : 722,748.93 = 294,290.96 : x
  2. Step 2: Convert to fraction form
    523,770.13/722,748.93 = 294,290.96/x
  3. Step 3: Cross multiply
    523,770.13x = 722,748.93 × 294,290.96
  4. Step 4: Simplify right side
    523,770.13x = 212,698,471,731.34
  5. Step 5: Solve for x
    x = 212,698,471,731.34/523,770.13
  6. Step 6: Final answer
    x = 406,091.26

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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.