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Finding the Fourth Proportional to 413,421.88, 570,550.38 and 229,681.98

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Solution

The fourth proportional to 413,421.88, 570,550.38 and 229,681.98 is: 316,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,421.88 : 570,550.38 = 229,681.98 : x
  2. Step 2: Convert to fraction form
    413,421.88/570,550.38 = 229,681.98/x
  3. Step 3: Cross multiply
    413,421.88x = 570,550.38 × 229,681.98
  4. Step 4: Simplify right side
    413,421.88x = 131,045,140,968.15
  5. Step 5: Solve for x
    x = 131,045,140,968.15/413,421.88
  6. Step 6: Final answer
    x = 316,976.79

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Why These Related Problems?

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