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Finding the Fourth Proportional to 460,478.63, 690,811.37 and 144,862.13

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Solution

The fourth proportional to 460,478.63, 690,811.37 and 144,862.13 is: 217,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,478.63 : 690,811.37 = 144,862.13 : x
  2. Step 2: Convert to fraction form
    460,478.63/690,811.37 = 144,862.13/x
  3. Step 3: Cross multiply
    460,478.63x = 690,811.37 × 144,862.13
  4. Step 4: Simplify right side
    460,478.63x = 100,072,405,762.11
  5. Step 5: Solve for x
    x = 100,072,405,762.11/460,478.63
  6. Step 6: Final answer
    x = 217,322.58

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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.