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Finding the Fourth Proportional to 522,959.40, 783,402.30 and 285,877.80

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Solution

The fourth proportional to 522,959.40, 783,402.30 and 285,877.80 is: 428,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,959.40 : 783,402.30 = 285,877.80 : x
  2. Step 2: Convert to fraction form
    522,959.40/783,402.30 = 285,877.80/x
  3. Step 3: Cross multiply
    522,959.40x = 783,402.30 × 285,877.80
  4. Step 4: Simplify right side
    522,959.40x = 223,957,326,038.94
  5. Step 5: Solve for x
    x = 223,957,326,038.94/522,959.40
  6. Step 6: Final answer
    x = 428,249.93

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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.