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Finding the Fourth Proportional to 519,396.44, 716,678.28 and 289,941.86

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Solution

The fourth proportional to 519,396.44, 716,678.28 and 289,941.86 is: 400,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,396.44 : 716,678.28 = 289,941.86 : x
  2. Step 2: Convert to fraction form
    519,396.44/716,678.28 = 289,941.86/x
  3. Step 3: Cross multiply
    519,396.44x = 716,678.28 × 289,941.86
  4. Step 4: Simplify right side
    519,396.44x = 207,795,035,316.50
  5. Step 5: Solve for x
    x = 207,795,035,316.50/519,396.44
  6. Step 6: Final answer
    x = 400,070.20

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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.