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Finding the Fourth Proportional to 380,291.98, 569,617.86 and 357,934.08

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Solution

The fourth proportional to 380,291.98, 569,617.86 and 357,934.08 is: 536,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,291.98 : 569,617.86 = 357,934.08 : x
  2. Step 2: Convert to fraction form
    380,291.98/569,617.86 = 357,934.08/x
  3. Step 3: Cross multiply
    380,291.98x = 569,617.86 × 357,934.08
  4. Step 4: Simplify right side
    380,291.98x = 203,885,644,670.67
  5. Step 5: Solve for x
    x = 203,885,644,670.67/380,291.98
  6. Step 6: Final answer
    x = 536,129.23

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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.