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Finding the Fourth Proportional to 583,205.50, 804,823.60 and 314,933.50

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Solution

The fourth proportional to 583,205.50, 804,823.60 and 314,933.50 is: 434,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,205.50 : 804,823.60 = 314,933.50 : x
  2. Step 2: Convert to fraction form
    583,205.50/804,823.60 = 314,933.50/x
  3. Step 3: Cross multiply
    583,205.50x = 804,823.60 × 314,933.50
  4. Step 4: Simplify right side
    583,205.50x = 253,465,913,230.60
  5. Step 5: Solve for x
    x = 253,465,913,230.60/583,205.50
  6. Step 6: Final answer
    x = 434,608.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.