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Finding the Fourth Proportional to 475,241.85, 712,436.31 and 355,150.98

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Solution

The fourth proportional to 475,241.85, 712,436.31 and 355,150.98 is: 532,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,241.85 : 712,436.31 = 355,150.98 : x
  2. Step 2: Convert to fraction form
    475,241.85/712,436.31 = 355,150.98/x
  3. Step 3: Cross multiply
    475,241.85x = 712,436.31 × 355,150.98
  4. Step 4: Simplify right side
    475,241.85x = 253,022,453,684.08
  5. Step 5: Solve for x
    x = 253,022,453,684.08/475,241.85
  6. Step 6: Final answer
    x = 532,407.77

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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.