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Finding the Fourth Proportional to 462,106.60, 692,123.10 and 451,738.60

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Solution

The fourth proportional to 462,106.60, 692,123.10 and 451,738.60 is: 676,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,106.60 : 692,123.10 = 451,738.60 : x
  2. Step 2: Convert to fraction form
    462,106.60/692,123.10 = 451,738.60/x
  3. Step 3: Cross multiply
    462,106.60x = 692,123.10 × 451,738.60
  4. Step 4: Simplify right side
    462,106.60x = 312,658,720,221.66
  5. Step 5: Solve for x
    x = 312,658,720,221.66/462,106.60
  6. Step 6: Final answer
    x = 676,594.36

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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.