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Finding the Fourth Proportional to 277,386.45, 382,804.16 and 162,649.14

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Solution

The fourth proportional to 277,386.45, 382,804.16 and 162,649.14 is: 224,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,386.45 : 382,804.16 = 162,649.14 : x
  2. Step 2: Convert to fraction form
    277,386.45/382,804.16 = 162,649.14/x
  3. Step 3: Cross multiply
    277,386.45x = 382,804.16 × 162,649.14
  4. Step 4: Simplify right side
    277,386.45x = 62,262,766,599.18
  5. Step 5: Solve for x
    x = 62,262,766,599.18/277,386.45
  6. Step 6: Final answer
    x = 224,462.18

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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.