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Finding the Fourth Proportional to 471,225.60, 706,838.40 and 321,926.40

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Solution

The fourth proportional to 471,225.60, 706,838.40 and 321,926.40 is: 482,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,225.60 : 706,838.40 = 321,926.40 : x
  2. Step 2: Convert to fraction form
    471,225.60/706,838.40 = 321,926.40/x
  3. Step 3: Cross multiply
    471,225.60x = 706,838.40 × 321,926.40
  4. Step 4: Simplify right side
    471,225.60x = 227,549,941,493.76
  5. Step 5: Solve for x
    x = 227,549,941,493.76/471,225.60
  6. Step 6: Final answer
    x = 482,889.60

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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.