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Finding the Fourth Proportional to 1,424,871, 1,966,298.16 and 771,491.76

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Solution

The fourth proportional to 1,424,871, 1,966,298.16 and 771,491.76 is: 1,064,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,871 : 1,966,298.16 = 771,491.76 : x
  2. Step 2: Convert to fraction form
    1,424,871/1,966,298.16 = 771,491.76/x
  3. Step 3: Cross multiply
    1,424,871x = 1,966,298.16 × 771,491.76
  4. Step 4: Simplify right side
    1,424,871x = 1,516,982,828,143.16
  5. Step 5: Solve for x
    x = 1,516,982,828,143.16/1,424,871
  6. Step 6: Final answer
    x = 1,064,645.73

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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.