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Finding the Fourth Proportional to 456,491.40, 684,737.10 and 448,618.20

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Solution

The fourth proportional to 456,491.40, 684,737.10 and 448,618.20 is: 672,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,491.40 : 684,737.10 = 448,618.20 : x
  2. Step 2: Convert to fraction form
    456,491.40/684,737.10 = 448,618.20/x
  3. Step 3: Cross multiply
    456,491.40x = 684,737.10 × 448,618.20
  4. Step 4: Simplify right side
    456,491.40x = 307,185,525,275.22
  5. Step 5: Solve for x
    x = 307,185,525,275.22/456,491.40
  6. Step 6: Final answer
    x = 672,927.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.