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Finding the Fourth Proportional to 461,756.22, 692,703.60 and 162,184

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Solution

The fourth proportional to 461,756.22, 692,703.60 and 162,184 is: 243,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,756.22 : 692,703.60 = 162,184 : x
  2. Step 2: Convert to fraction form
    461,756.22/692,703.60 = 162,184/x
  3. Step 3: Cross multiply
    461,756.22x = 692,703.60 × 162,184
  4. Step 4: Simplify right side
    461,756.22x = 112,345,440,662.40
  5. Step 5: Solve for x
    x = 112,345,440,662.40/461,756.22
  6. Step 6: Final answer
    x = 243,300.33

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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.