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Finding the Fourth Proportional to 1,424,581.92, 1,965,923.28 and 780,042.06

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Solution

The fourth proportional to 1,424,581.92, 1,965,923.28 and 780,042.06 is: 1,076,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,581.92 : 1,965,923.28 = 780,042.06 : x
  2. Step 2: Convert to fraction form
    1,424,581.92/1,965,923.28 = 780,042.06/x
  3. Step 3: Cross multiply
    1,424,581.92x = 1,965,923.28 × 780,042.06
  4. Step 4: Simplify right side
    1,424,581.92x = 1,533,502,845,133.16
  5. Step 5: Solve for x
    x = 1,533,502,845,133.16/1,424,581.92
  6. Step 6: Final answer
    x = 1,076,458.17

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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.