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Finding the Fourth Proportional to 510,586.32, 704,703.61 and 295,726.33

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Solution

The fourth proportional to 510,586.32, 704,703.61 and 295,726.33 is: 408,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,586.32 : 704,703.61 = 295,726.33 : x
  2. Step 2: Convert to fraction form
    510,586.32/704,703.61 = 295,726.33/x
  3. Step 3: Cross multiply
    510,586.32x = 704,703.61 × 295,726.33
  4. Step 4: Simplify right side
    510,586.32x = 208,399,412,323.05
  5. Step 5: Solve for x
    x = 208,399,412,323.05/510,586.32
  6. Step 6: Final answer
    x = 408,157.06

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1.5x scale

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.