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Finding the Fourth Proportional to 507,684.80, 761,565.47 and 170,726.42

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Solution

The fourth proportional to 507,684.80, 761,565.47 and 170,726.42 is: 256,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,684.80 : 761,565.47 = 170,726.42 : x
  2. Step 2: Convert to fraction form
    507,684.80/761,565.47 = 170,726.42/x
  3. Step 3: Cross multiply
    507,684.80x = 761,565.47 × 170,726.42
  4. Step 4: Simplify right side
    507,684.80x = 130,019,341,627.26
  5. Step 5: Solve for x
    x = 130,019,341,627.26/507,684.80
  6. Step 6: Final answer
    x = 256,102.49

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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.