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Finding the Fourth Proportional to 471,293.40, 706,940.10 and 420,117.60

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Solution

The fourth proportional to 471,293.40, 706,940.10 and 420,117.60 is: 630,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,293.40 : 706,940.10 = 420,117.60 : x
  2. Step 2: Convert to fraction form
    471,293.40/706,940.10 = 420,117.60/x
  3. Step 3: Cross multiply
    471,293.40x = 706,940.10 × 420,117.60
  4. Step 4: Simplify right side
    471,293.40x = 296,997,978,155.76
  5. Step 5: Solve for x
    x = 296,997,978,155.76/471,293.40
  6. Step 6: Final answer
    x = 630,176.40

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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.