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Finding the Fourth Proportional to 602,457.48, 903,133.26 and 208,197

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Solution

The fourth proportional to 602,457.48, 903,133.26 and 208,197 is: 312,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,457.48 : 903,133.26 = 208,197 : x
  2. Step 2: Convert to fraction form
    602,457.48/903,133.26 = 208,197/x
  3. Step 3: Cross multiply
    602,457.48x = 903,133.26 × 208,197
  4. Step 4: Simplify right side
    602,457.48x = 188,029,635,332.22
  5. Step 5: Solve for x
    x = 188,029,635,332.22/602,457.48
  6. Step 6: Final answer
    x = 312,104.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.