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Finding the Fourth Proportional to 473,539.35, 710,485.49 and 284,135.66

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Solution

The fourth proportional to 473,539.35, 710,485.49 and 284,135.66 is: 426,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,539.35 : 710,485.49 = 284,135.66 : x
  2. Step 2: Convert to fraction form
    473,539.35/710,485.49 = 284,135.66/x
  3. Step 3: Cross multiply
    473,539.35x = 710,485.49 × 284,135.66
  4. Step 4: Simplify right side
    473,539.35x = 201,874,263,621.57
  5. Step 5: Solve for x
    x = 201,874,263,621.57/473,539.35
  6. Step 6: Final answer
    x = 426,309.37

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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.