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Finding the Fourth Proportional to 650,583.25, 898,358.93 and 409,269.67

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Solution

The fourth proportional to 650,583.25, 898,358.93 and 409,269.67 is: 565,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,583.25 : 898,358.93 = 409,269.67 : x
  2. Step 2: Convert to fraction form
    650,583.25/898,358.93 = 409,269.67/x
  3. Step 3: Cross multiply
    650,583.25x = 898,358.93 × 409,269.67
  4. Step 4: Simplify right side
    650,583.25x = 367,671,062,822.65
  5. Step 5: Solve for x
    x = 367,671,062,822.65/650,583.25
  6. Step 6: Final answer
    x = 565,140.68

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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.