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Finding the Fourth Proportional to 421,010.34, 580,973.13 and 229,988.58

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Solution

The fourth proportional to 421,010.34, 580,973.13 and 229,988.58 is: 317,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,010.34 : 580,973.13 = 229,988.58 : x
  2. Step 2: Convert to fraction form
    421,010.34/580,973.13 = 229,988.58/x
  3. Step 3: Cross multiply
    421,010.34x = 580,973.13 × 229,988.58
  4. Step 4: Simplify right side
    421,010.34x = 133,617,185,186.86
  5. Step 5: Solve for x
    x = 133,617,185,186.86/421,010.34
  6. Step 6: Final answer
    x = 317,372.69

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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.