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Finding the Fourth Proportional to 360,097.41, 496,986.48 and 214,909.36

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Solution

The fourth proportional to 360,097.41, 496,986.48 and 214,909.36 is: 296,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,097.41 : 496,986.48 = 214,909.36 : x
  2. Step 2: Convert to fraction form
    360,097.41/496,986.48 = 214,909.36/x
  3. Step 3: Cross multiply
    360,097.41x = 496,986.48 × 214,909.36
  4. Step 4: Simplify right side
    360,097.41x = 106,807,044,855.07
  5. Step 5: Solve for x
    x = 106,807,044,855.07/360,097.41
  6. Step 6: Final answer
    x = 296,605.98

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1.5x scale

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.