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Finding the Fourth Proportional to 780,642, 1,077,287.04 and 422,946

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Solution

The fourth proportional to 780,642, 1,077,287.04 and 422,946 is: 583,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,642 : 1,077,287.04 = 422,946 : x
  2. Step 2: Convert to fraction form
    780,642/1,077,287.04 = 422,946/x
  3. Step 3: Cross multiply
    780,642x = 1,077,287.04 × 422,946
  4. Step 4: Simplify right side
    780,642x = 455,634,244,419.84
  5. Step 5: Solve for x
    x = 455,634,244,419.84/780,642
  6. Step 6: Final answer
    x = 583,666.07

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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.