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Finding the Fourth Proportional to 506,811.60, 699,391.08 and 291,951

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Solution

The fourth proportional to 506,811.60, 699,391.08 and 291,951 is: 402,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,811.60 : 699,391.08 = 291,951 : x
  2. Step 2: Convert to fraction form
    506,811.60/699,391.08 = 291,951/x
  3. Step 3: Cross multiply
    506,811.60x = 699,391.08 × 291,951
  4. Step 4: Simplify right side
    506,811.60x = 204,187,925,197.08
  5. Step 5: Solve for x
    x = 204,187,925,197.08/506,811.60
  6. Step 6: Final answer
    x = 402,887.24

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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.