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Finding the Fourth Proportional to 298,638.01, 412,114.71 and 162,670.38

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Solution

The fourth proportional to 298,638.01, 412,114.71 and 162,670.38 is: 224,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,638.01 : 412,114.71 = 162,670.38 : x
  2. Step 2: Convert to fraction form
    298,638.01/412,114.71 = 162,670.38/x
  3. Step 3: Cross multiply
    298,638.01x = 412,114.71 × 162,670.38
  4. Step 4: Simplify right side
    298,638.01x = 67,038,856,479.29
  5. Step 5: Solve for x
    x = 67,038,856,479.29/298,638.01
  6. Step 6: Final answer
    x = 224,482.00

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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.