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Finding the Fourth Proportional to 1,425,116.41, 1,966,662.54 and 771,743.55

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Solution

The fourth proportional to 1,425,116.41, 1,966,662.54 and 771,743.55 is: 1,065,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,116.41 : 1,966,662.54 = 771,743.55 : x
  2. Step 2: Convert to fraction form
    1,425,116.41/1,966,662.54 = 771,743.55/x
  3. Step 3: Cross multiply
    1,425,116.41x = 1,966,662.54 × 771,743.55
  4. Step 4: Simplify right side
    1,425,116.41x = 1,517,759,130,271.62
  5. Step 5: Solve for x
    x = 1,517,759,130,271.62/1,425,116.41
  6. Step 6: Final answer
    x = 1,065,007.12

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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.