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Finding the Fourth Proportional to 460,053.60, 690,031.80 and 144,493.80

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Solution

The fourth proportional to 460,053.60, 690,031.80 and 144,493.80 is: 216,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,053.60 : 690,031.80 = 144,493.80 : x
  2. Step 2: Convert to fraction form
    460,053.60/690,031.80 = 144,493.80/x
  3. Step 3: Cross multiply
    460,053.60x = 690,031.80 × 144,493.80
  4. Step 4: Simplify right side
    460,053.60x = 99,705,316,902.84
  5. Step 5: Solve for x
    x = 99,705,316,902.84/460,053.60
  6. Step 6: Final answer
    x = 216,725.44

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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.