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Finding the Fourth Proportional to 702,543.84, 969,272.62 and 457,416.68

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Solution

The fourth proportional to 702,543.84, 969,272.62 and 457,416.68 is: 631,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,543.84 : 969,272.62 = 457,416.68 : x
  2. Step 2: Convert to fraction form
    702,543.84/969,272.62 = 457,416.68/x
  3. Step 3: Cross multiply
    702,543.84x = 969,272.62 × 457,416.68
  4. Step 4: Simplify right side
    702,543.84x = 443,361,463,855.30
  5. Step 5: Solve for x
    x = 443,361,463,855.30/702,543.84
  6. Step 6: Final answer
    x = 631,080.14

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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.