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Finding the Fourth Proportional to 460,359.64, 635,469.06 and 340,465.87

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Solution

The fourth proportional to 460,359.64, 635,469.06 and 340,465.87 is: 469,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,359.64 : 635,469.06 = 340,465.87 : x
  2. Step 2: Convert to fraction form
    460,359.64/635,469.06 = 340,465.87/x
  3. Step 3: Cross multiply
    460,359.64x = 635,469.06 × 340,465.87
  4. Step 4: Simplify right side
    460,359.64x = 216,355,526,370.98
  5. Step 5: Solve for x
    x = 216,355,526,370.98/460,359.64
  6. Step 6: Final answer
    x = 469,970.67

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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.