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Finding the Fourth Proportional to 460,237.52, 690,395.70 and 140,461.40

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Solution

The fourth proportional to 460,237.52, 690,395.70 and 140,461.40 is: 210,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,237.52 : 690,395.70 = 140,461.40 : x
  2. Step 2: Convert to fraction form
    460,237.52/690,395.70 = 140,461.40/x
  3. Step 3: Cross multiply
    460,237.52x = 690,395.70 × 140,461.40
  4. Step 4: Simplify right side
    460,237.52x = 96,973,946,575.98
  5. Step 5: Solve for x
    x = 96,973,946,575.98/460,237.52
  6. Step 6: Final answer
    x = 210,704.13

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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.