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Finding the Fourth Proportional to 552,242.96, 827,281.84 and 286,178

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Solution

The fourth proportional to 552,242.96, 827,281.84 and 286,178 is: 428,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,242.96 : 827,281.84 = 286,178 : x
  2. Step 2: Convert to fraction form
    552,242.96/827,281.84 = 286,178/x
  3. Step 3: Cross multiply
    552,242.96x = 827,281.84 × 286,178
  4. Step 4: Simplify right side
    552,242.96x = 236,749,862,407.52
  5. Step 5: Solve for x
    x = 236,749,862,407.52/552,242.96
  6. Step 6: Final answer
    x = 428,705.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.