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Finding the Fourth Proportional to 650,583.50, 898,359.27 and 409,269.92

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Solution

The fourth proportional to 650,583.50, 898,359.27 and 409,269.92 is: 565,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,583.50 : 898,359.27 = 409,269.92 : x
  2. Step 2: Convert to fraction form
    650,583.50/898,359.27 = 409,269.92/x
  3. Step 3: Cross multiply
    650,583.50x = 898,359.27 × 409,269.92
  4. Step 4: Simplify right side
    650,583.50x = 367,671,426,564.16
  5. Step 5: Solve for x
    x = 367,671,426,564.16/650,583.50
  6. Step 6: Final answer
    x = 565,141.03

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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.