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Finding the Fourth Proportional to 780,178.50, 1,076,646.33 and 422,482.50

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Solution

The fourth proportional to 780,178.50, 1,076,646.33 and 422,482.50 is: 583,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,178.50 : 1,076,646.33 = 422,482.50 : x
  2. Step 2: Convert to fraction form
    780,178.50/1,076,646.33 = 422,482.50/x
  3. Step 3: Cross multiply
    780,178.50x = 1,076,646.33 × 422,482.50
  4. Step 4: Simplify right side
    780,178.50x = 454,864,233,114.23
  5. Step 5: Solve for x
    x = 454,864,233,114.23/780,178.50
  6. Step 6: Final answer
    x = 583,025.85

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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.