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Finding the Fourth Proportional to 772,328.70, 1,065,813.93 and 470,522.70

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Solution

The fourth proportional to 772,328.70, 1,065,813.93 and 470,522.70 is: 649,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,328.70 : 1,065,813.93 = 470,522.70 : x
  2. Step 2: Convert to fraction form
    772,328.70/1,065,813.93 = 470,522.70/x
  3. Step 3: Cross multiply
    772,328.70x = 1,065,813.93 × 470,522.70
  4. Step 4: Simplify right side
    772,328.70x = 501,489,648,041.21
  5. Step 5: Solve for x
    x = 501,489,648,041.21/772,328.70
  6. Step 6: Final answer
    x = 649,321.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.