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Finding the Fourth Proportional to 380,522.66, 525,125.14 and 229,590.50

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Solution

The fourth proportional to 380,522.66, 525,125.14 and 229,590.50 is: 316,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,522.66 : 525,125.14 = 229,590.50 : x
  2. Step 2: Convert to fraction form
    380,522.66/525,125.14 = 229,590.50/x
  3. Step 3: Cross multiply
    380,522.66x = 525,125.14 × 229,590.50
  4. Step 4: Simplify right side
    380,522.66x = 120,563,743,455.17
  5. Step 5: Solve for x
    x = 120,563,743,455.17/380,522.66
  6. Step 6: Final answer
    x = 316,837.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.