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Finding the Fourth Proportional to 602,006.20, 903,009.30 and 546,893.80

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Solution

The fourth proportional to 602,006.20, 903,009.30 and 546,893.80 is: 820,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,006.20 : 903,009.30 = 546,893.80 : x
  2. Step 2: Convert to fraction form
    602,006.20/903,009.30 = 546,893.80/x
  3. Step 3: Cross multiply
    602,006.20x = 903,009.30 × 546,893.80
  4. Step 4: Simplify right side
    602,006.20x = 493,850,187,512.34
  5. Step 5: Solve for x
    x = 493,850,187,512.34/602,006.20
  6. Step 6: Final answer
    x = 820,340.70

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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.