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Finding the Fourth Proportional to 649,166.60, 972,000.30 and 470,707.40

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Solution

The fourth proportional to 649,166.60, 972,000.30 and 470,707.40 is: 704,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,166.60 : 972,000.30 = 470,707.40 : x
  2. Step 2: Convert to fraction form
    649,166.60/972,000.30 = 470,707.40/x
  3. Step 3: Cross multiply
    649,166.60x = 972,000.30 × 470,707.40
  4. Step 4: Simplify right side
    649,166.60x = 457,527,734,012.22
  5. Step 5: Solve for x
    x = 457,527,734,012.22/649,166.60
  6. Step 6: Final answer
    x = 704,792.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.