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Finding the Fourth Proportional to 277,411.17, 382,827.29 and 156,577.80

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Solution

The fourth proportional to 277,411.17, 382,827.29 and 156,577.80 is: 216,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,411.17 : 382,827.29 = 156,577.80 : x
  2. Step 2: Convert to fraction form
    277,411.17/382,827.29 = 156,577.80/x
  3. Step 3: Cross multiply
    277,411.17x = 382,827.29 × 156,577.80
  4. Step 4: Simplify right side
    277,411.17x = 59,942,254,065.27
  5. Step 5: Solve for x
    x = 59,942,254,065.27/277,411.17
  6. Step 6: Final answer
    x = 216,077.29

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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.