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Finding the Fourth Proportional to 471,307.20, 706,960.80 and 282,350.40

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Solution

The fourth proportional to 471,307.20, 706,960.80 and 282,350.40 is: 423,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,307.20 : 706,960.80 = 282,350.40 : x
  2. Step 2: Convert to fraction form
    471,307.20/706,960.80 = 282,350.40/x
  3. Step 3: Cross multiply
    471,307.20x = 706,960.80 × 282,350.40
  4. Step 4: Simplify right side
    471,307.20x = 199,610,664,664.32
  5. Step 5: Solve for x
    x = 199,610,664,664.32/471,307.20
  6. Step 6: Final answer
    x = 423,525.60

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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.