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Finding the Fourth Proportional to 422,403.15, 583,475.35 and 314,786.35

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Solution

The fourth proportional to 422,403.15, 583,475.35 and 314,786.35 is: 434,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,403.15 : 583,475.35 = 314,786.35 : x
  2. Step 2: Convert to fraction form
    422,403.15/583,475.35 = 314,786.35/x
  3. Step 3: Cross multiply
    422,403.15x = 583,475.35 × 314,786.35
  4. Step 4: Simplify right side
    422,403.15x = 183,670,076,274.08
  5. Step 5: Solve for x
    x = 183,670,076,274.08/422,403.15
  6. Step 6: Final answer
    x = 434,821.74

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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.