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Finding the Fourth Proportional to 463,158.80, 695,533.28 and 284,294.56

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Solution

The fourth proportional to 463,158.80, 695,533.28 and 284,294.56 is: 426,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,158.80 : 695,533.28 = 284,294.56 : x
  2. Step 2: Convert to fraction form
    463,158.80/695,533.28 = 284,294.56/x
  3. Step 3: Cross multiply
    463,158.80x = 695,533.28 × 284,294.56
  4. Step 4: Simplify right side
    463,158.80x = 197,736,327,802.96
  5. Step 5: Solve for x
    x = 197,736,327,802.96/463,158.80
  6. Step 6: Final answer
    x = 426,929.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.