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Finding the Fourth Proportional to 506,457.09, 699,125.99 and 315,564.80

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Solution

The fourth proportional to 506,457.09, 699,125.99 and 315,564.80 is: 435,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,457.09 : 699,125.99 = 315,564.80 : x
  2. Step 2: Convert to fraction form
    506,457.09/699,125.99 = 315,564.80/x
  3. Step 3: Cross multiply
    506,457.09x = 699,125.99 × 315,564.80
  4. Step 4: Simplify right side
    506,457.09x = 220,619,548,135.70
  5. Step 5: Solve for x
    x = 220,619,548,135.70/506,457.09
  6. Step 6: Final answer
    x = 435,613.51

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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.