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Finding the Fourth Proportional to 289,353.69, 399,503.09 and 180,623.57

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Solution

The fourth proportional to 289,353.69, 399,503.09 and 180,623.57 is: 249,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,353.69 : 399,503.09 = 180,623.57 : x
  2. Step 2: Convert to fraction form
    289,353.69/399,503.09 = 180,623.57/x
  3. Step 3: Cross multiply
    289,353.69x = 399,503.09 × 180,623.57
  4. Step 4: Simplify right side
    289,353.69x = 72,159,674,027.07
  5. Step 5: Solve for x
    x = 72,159,674,027.07/289,353.69
  6. Step 6: Final answer
    x = 249,382.25

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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.