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Finding the Fourth Proportional to 292,311.40, 438,467.10 and 134,847.40

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Solution

The fourth proportional to 292,311.40, 438,467.10 and 134,847.40 is: 202,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,311.40 : 438,467.10 = 134,847.40 : x
  2. Step 2: Convert to fraction form
    292,311.40/438,467.10 = 134,847.40/x
  3. Step 3: Cross multiply
    292,311.40x = 438,467.10 × 134,847.40
  4. Step 4: Simplify right side
    292,311.40x = 59,126,148,420.54
  5. Step 5: Solve for x
    x = 59,126,148,420.54/292,311.40
  6. Step 6: Final answer
    x = 202,271.10

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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.