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Finding the Fourth Proportional to 802,127.40, 1,202,802.30 and 446,764.20

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Solution

The fourth proportional to 802,127.40, 1,202,802.30 and 446,764.20 is: 669,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,127.40 : 1,202,802.30 = 446,764.20 : x
  2. Step 2: Convert to fraction form
    802,127.40/1,202,802.30 = 446,764.20/x
  3. Step 3: Cross multiply
    802,127.40x = 1,202,802.30 × 446,764.20
  4. Step 4: Simplify right side
    802,127.40x = 537,369,007,317.66
  5. Step 5: Solve for x
    x = 537,369,007,317.66/802,127.40
  6. Step 6: Final answer
    x = 669,929.75

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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.