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Finding the Fourth Proportional to 426,847.80, 640,271.70 and 214,271.40

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Solution

The fourth proportional to 426,847.80, 640,271.70 and 214,271.40 is: 321,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,847.80 : 640,271.70 = 214,271.40 : x
  2. Step 2: Convert to fraction form
    426,847.80/640,271.70 = 214,271.40/x
  3. Step 3: Cross multiply
    426,847.80x = 640,271.70 × 214,271.40
  4. Step 4: Simplify right side
    426,847.80x = 137,191,913,539.38
  5. Step 5: Solve for x
    x = 137,191,913,539.38/426,847.80
  6. Step 6: Final answer
    x = 321,407.10

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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.