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Finding the Fourth Proportional to 371,176.90, 512,225.50 and 201,411.04

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Solution

The fourth proportional to 371,176.90, 512,225.50 and 201,411.04 is: 277,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,176.90 : 512,225.50 = 201,411.04 : x
  2. Step 2: Convert to fraction form
    371,176.90/512,225.50 = 201,411.04/x
  3. Step 3: Cross multiply
    371,176.90x = 512,225.50 × 201,411.04
  4. Step 4: Simplify right side
    371,176.90x = 103,167,870,669.52
  5. Step 5: Solve for x
    x = 103,167,870,669.52/371,176.90
  6. Step 6: Final answer
    x = 277,947.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.