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Finding the Fourth Proportional to 462,034.40, 693,051.60 and 455,813.60

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Solution

The fourth proportional to 462,034.40, 693,051.60 and 455,813.60 is: 683,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,034.40 : 693,051.60 = 455,813.60 : x
  2. Step 2: Convert to fraction form
    462,034.40/693,051.60 = 455,813.60/x
  3. Step 3: Cross multiply
    462,034.40x = 693,051.60 × 455,813.60
  4. Step 4: Simplify right side
    462,034.40x = 315,902,344,781.76
  5. Step 5: Solve for x
    x = 315,902,344,781.76/462,034.40
  6. Step 6: Final answer
    x = 683,720.40

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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.