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Finding the Fourth Proportional to 397,317.80, 596,667.90 and 210,693.80

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Solution

The fourth proportional to 397,317.80, 596,667.90 and 210,693.80 is: 316,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,317.80 : 596,667.90 = 210,693.80 : x
  2. Step 2: Convert to fraction form
    397,317.80/596,667.90 = 210,693.80/x
  3. Step 3: Cross multiply
    397,317.80x = 596,667.90 × 210,693.80
  4. Step 4: Simplify right side
    397,317.80x = 125,714,227,189.02
  5. Step 5: Solve for x
    x = 125,714,227,189.02/397,317.80
  6. Step 6: Final answer
    x = 316,407.24

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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.