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Finding the Fourth Proportional to 552,632.84, 827,864.50 and 286,567.28

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Solution

The fourth proportional to 552,632.84, 827,864.50 and 286,567.28 is: 429,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,632.84 : 827,864.50 = 286,567.28 : x
  2. Step 2: Convert to fraction form
    552,632.84/827,864.50 = 286,567.28/x
  3. Step 3: Cross multiply
    552,632.84x = 827,864.50 × 286,567.28
  4. Step 4: Simplify right side
    552,632.84x = 237,238,877,973.56
  5. Step 5: Solve for x
    x = 237,238,877,973.56/552,632.84
  6. Step 6: Final answer
    x = 429,288.42

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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.