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Finding the Fourth Proportional to 495,747, 746,953.38 and 448,415.46

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Solution

The fourth proportional to 495,747, 746,953.38 and 448,415.46 is: 675,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,747 : 746,953.38 = 448,415.46 : x
  2. Step 2: Convert to fraction form
    495,747/746,953.38 = 448,415.46/x
  3. Step 3: Cross multiply
    495,747x = 746,953.38 × 448,415.46
  4. Step 4: Simplify right side
    495,747x = 334,945,443,491.26
  5. Step 5: Solve for x
    x = 334,945,443,491.26/495,747
  6. Step 6: Final answer
    x = 675,637.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.