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Finding the Fourth Proportional to 780,186, 1,076,656.68 and 422,490

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Solution

The fourth proportional to 780,186, 1,076,656.68 and 422,490 is: 583,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,186 : 1,076,656.68 = 422,490 : x
  2. Step 2: Convert to fraction form
    780,186/1,076,656.68 = 422,490/x
  3. Step 3: Cross multiply
    780,186x = 1,076,656.68 × 422,490
  4. Step 4: Simplify right side
    780,186x = 454,876,680,733.20
  5. Step 5: Solve for x
    x = 454,876,680,733.20/780,186
  6. Step 6: Final answer
    x = 583,036.20

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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.