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Finding the Fourth Proportional to 460,901.57, 691,453.84 and 141,055.89

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Solution

The fourth proportional to 460,901.57, 691,453.84 and 141,055.89 is: 211,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,901.57 : 691,453.84 = 141,055.89 : x
  2. Step 2: Convert to fraction form
    460,901.57/691,453.84 = 141,055.89/x
  3. Step 3: Cross multiply
    460,901.57x = 691,453.84 × 141,055.89
  4. Step 4: Simplify right side
    460,901.57x = 97,533,639,372.51
  5. Step 5: Solve for x
    x = 97,533,639,372.51/460,901.57
  6. Step 6: Final answer
    x = 211,614.90

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Why These Related Problems?

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