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Finding the Fourth Proportional to 523,582.96, 722,501.94 and 294,127.78

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Solution

The fourth proportional to 523,582.96, 722,501.94 and 294,127.78 is: 405,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,582.96 : 722,501.94 = 294,127.78 : x
  2. Step 2: Convert to fraction form
    523,582.96/722,501.94 = 294,127.78/x
  3. Step 3: Cross multiply
    523,582.96x = 722,501.94 × 294,127.78
  4. Step 4: Simplify right side
    523,582.96x = 212,507,891,657.89
  5. Step 5: Solve for x
    x = 212,507,891,657.89/523,582.96
  6. Step 6: Final answer
    x = 405,872.44

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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.