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Finding the Fourth Proportional to 1,424,765.94, 1,966,180.14 and 771,398.88

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Solution

The fourth proportional to 1,424,765.94, 1,966,180.14 and 771,398.88 is: 1,064,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,765.94 : 1,966,180.14 = 771,398.88 : x
  2. Step 2: Convert to fraction form
    1,424,765.94/1,966,180.14 = 771,398.88/x
  3. Step 3: Cross multiply
    1,424,765.94x = 1,966,180.14 × 771,398.88
  4. Step 4: Simplify right side
    1,424,765.94x = 1,516,709,157,874.24
  5. Step 5: Solve for x
    x = 1,516,709,157,874.24/1,424,765.94
  6. Step 6: Final answer
    x = 1,064,532.16

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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.