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Finding the Fourth Proportional to 462,023.40, 693,035.10 and 455,802.60

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Solution

The fourth proportional to 462,023.40, 693,035.10 and 455,802.60 is: 683,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,023.40 : 693,035.10 = 455,802.60 : x
  2. Step 2: Convert to fraction form
    462,023.40/693,035.10 = 455,802.60/x
  3. Step 3: Cross multiply
    462,023.40x = 693,035.10 × 455,802.60
  4. Step 4: Simplify right side
    462,023.40x = 315,887,200,471.26
  5. Step 5: Solve for x
    x = 315,887,200,471.26/462,023.40
  6. Step 6: Final answer
    x = 683,703.90

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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.