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Finding the Fourth Proportional to 532,864.56, 735,344.52 and 291,142

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Solution

The fourth proportional to 532,864.56, 735,344.52 and 291,142 is: 401,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,864.56 : 735,344.52 = 291,142 : x
  2. Step 2: Convert to fraction form
    532,864.56/735,344.52 = 291,142/x
  3. Step 3: Cross multiply
    532,864.56x = 735,344.52 × 291,142
  4. Step 4: Simplify right side
    532,864.56x = 214,089,674,241.84
  5. Step 5: Solve for x
    x = 214,089,674,241.84/532,864.56
  6. Step 6: Final answer
    x = 401,771.28

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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.