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Finding the Fourth Proportional to 519,155, 716,433.90 and 280,691

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Solution

The fourth proportional to 519,155, 716,433.90 and 280,691 is: 387,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,155 : 716,433.90 = 280,691 : x
  2. Step 2: Convert to fraction form
    519,155/716,433.90 = 280,691/x
  3. Step 3: Cross multiply
    519,155x = 716,433.90 × 280,691
  4. Step 4: Simplify right side
    519,155x = 201,096,547,824.90
  5. Step 5: Solve for x
    x = 201,096,547,824.90/519,155
  6. Step 6: Final answer
    x = 387,353.58

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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.