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Finding the Fourth Proportional to 462,112.60, 692,132.10 and 451,744.60

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Solution

The fourth proportional to 462,112.60, 692,132.10 and 451,744.60 is: 676,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,112.60 : 692,132.10 = 451,744.60 : x
  2. Step 2: Convert to fraction form
    462,112.60/692,132.10 = 451,744.60/x
  3. Step 3: Cross multiply
    462,112.60x = 692,132.10 × 451,744.60
  4. Step 4: Simplify right side
    462,112.60x = 312,666,938,661.66
  5. Step 5: Solve for x
    x = 312,666,938,661.66/462,112.60
  6. Step 6: Final answer
    x = 676,603.36

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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.