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Finding the Fourth Proportional to 507,369, 700,180.54 and 289,573.31

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Solution

The fourth proportional to 507,369, 700,180.54 and 289,573.31 is: 399,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,369 : 700,180.54 = 289,573.31 : x
  2. Step 2: Convert to fraction form
    507,369/700,180.54 = 289,573.31/x
  3. Step 3: Cross multiply
    507,369x = 700,180.54 × 289,573.31
  4. Step 4: Simplify right side
    507,369x = 202,753,596,565.39
  5. Step 5: Solve for x
    x = 202,753,596,565.39/507,369
  6. Step 6: Final answer
    x = 399,617.63

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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.