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Finding the Fourth Proportional to 519,168.42, 716,406.93 and 289,708.38

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Solution

The fourth proportional to 519,168.42, 716,406.93 and 289,708.38 is: 399,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,168.42 : 716,406.93 = 289,708.38 : x
  2. Step 2: Convert to fraction form
    519,168.42/716,406.93 = 289,708.38/x
  3. Step 3: Cross multiply
    519,168.42x = 716,406.93 × 289,708.38
  4. Step 4: Simplify right side
    519,168.42x = 207,549,091,111.07
  5. Step 5: Solve for x
    x = 207,549,091,111.07/519,168.42
  6. Step 6: Final answer
    x = 399,772.18

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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.