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Finding the Fourth Proportional to 510,586.42, 704,703.72 and 295,726.42

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Solution

The fourth proportional to 510,586.42, 704,703.72 and 295,726.42 is: 408,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,586.42 : 704,703.72 = 295,726.42 : x
  2. Step 2: Convert to fraction form
    510,586.42/704,703.72 = 295,726.42/x
  3. Step 3: Cross multiply
    510,586.42x = 704,703.72 × 295,726.42
  4. Step 4: Simplify right side
    510,586.42x = 208,399,508,276.28
  5. Step 5: Solve for x
    x = 208,399,508,276.28/510,586.42
  6. Step 6: Final answer
    x = 408,157.17

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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.