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Finding the Fourth Proportional to 354,280.96, 488,916.48 and 201,315.52

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Solution

The fourth proportional to 354,280.96, 488,916.48 and 201,315.52 is: 277,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,280.96 : 488,916.48 = 201,315.52 : x
  2. Step 2: Convert to fraction form
    354,280.96/488,916.48 = 201,315.52/x
  3. Step 3: Cross multiply
    354,280.96x = 488,916.48 × 201,315.52
  4. Step 4: Simplify right side
    354,280.96x = 98,426,475,407.77
  5. Step 5: Solve for x
    x = 98,426,475,407.77/354,280.96
  6. Step 6: Final answer
    x = 277,820.39

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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.