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Finding the Fourth Proportional to 1,424,664.03, 1,966,039.54 and 771,296.94

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Solution

The fourth proportional to 1,424,664.03, 1,966,039.54 and 771,296.94 is: 1,064,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,664.03 : 1,966,039.54 = 771,296.94 : x
  2. Step 2: Convert to fraction form
    1,424,664.03/1,966,039.54 = 771,296.94/x
  3. Step 3: Cross multiply
    1,424,664.03x = 1,966,039.54 × 771,296.94
  4. Step 4: Simplify right side
    1,424,664.03x = 1,516,400,271,290.81
  5. Step 5: Solve for x
    x = 1,516,400,271,290.81/1,424,664.03
  6. Step 6: Final answer
    x = 1,064,391.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.