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Finding the Fourth Proportional to 461,404.40, 692,106.60 and 162,222.80

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Solution

The fourth proportional to 461,404.40, 692,106.60 and 162,222.80 is: 243,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,404.40 : 692,106.60 = 162,222.80 : x
  2. Step 2: Convert to fraction form
    461,404.40/692,106.60 = 162,222.80/x
  3. Step 3: Cross multiply
    461,404.40x = 692,106.60 × 162,222.80
  4. Step 4: Simplify right side
    461,404.40x = 112,275,470,550.48
  5. Step 5: Solve for x
    x = 112,275,470,550.48/461,404.40
  6. Step 6: Final answer
    x = 243,334.20

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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.