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Finding the Fourth Proportional to 519,026.28, 716,255.10 and 292,670.16

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Solution

The fourth proportional to 519,026.28, 716,255.10 and 292,670.16 is: 403,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,026.28 : 716,255.10 = 292,670.16 : x
  2. Step 2: Convert to fraction form
    519,026.28/716,255.10 = 292,670.16/x
  3. Step 3: Cross multiply
    519,026.28x = 716,255.10 × 292,670.16
  4. Step 4: Simplify right side
    519,026.28x = 209,626,494,717.82
  5. Step 5: Solve for x
    x = 209,626,494,717.82/519,026.28
  6. Step 6: Final answer
    x = 403,884.16

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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.