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Finding the Fourth Proportional to 519,144.90, 716,418.62 and 289,699.76

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Solution

The fourth proportional to 519,144.90, 716,418.62 and 289,699.76 is: 399,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,144.90 : 716,418.62 = 289,699.76 : x
  2. Step 2: Convert to fraction form
    519,144.90/716,418.62 = 289,699.76/x
  3. Step 3: Cross multiply
    519,144.90x = 716,418.62 × 289,699.76
  4. Step 4: Simplify right side
    519,144.90x = 207,546,302,273.53
  5. Step 5: Solve for x
    x = 207,546,302,273.53/519,144.90
  6. Step 6: Final answer
    x = 399,784.92

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1.5x scale

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.