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Finding the Fourth Proportional to 298,602, 412,070.76 and 164,466

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Solution

The fourth proportional to 298,602, 412,070.76 and 164,466 is: 226,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,602 : 412,070.76 = 164,466 : x
  2. Step 2: Convert to fraction form
    298,602/412,070.76 = 164,466/x
  3. Step 3: Cross multiply
    298,602x = 412,070.76 × 164,466
  4. Step 4: Simplify right side
    298,602x = 67,771,629,614.16
  5. Step 5: Solve for x
    x = 67,771,629,614.16/298,602
  6. Step 6: Final answer
    x = 226,963.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.