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Finding the Fourth Proportional to 508,102.48, 701,130.90 and 293,311.75

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Solution

The fourth proportional to 508,102.48, 701,130.90 and 293,311.75 is: 404,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.48 : 701,130.90 = 293,311.75 : x
  2. Step 2: Convert to fraction form
    508,102.48/701,130.90 = 293,311.75/x
  3. Step 3: Cross multiply
    508,102.48x = 701,130.90 × 293,311.75
  4. Step 4: Simplify right side
    508,102.48x = 205,649,931,258.08
  5. Step 5: Solve for x
    x = 205,649,931,258.08/508,102.48
  6. Step 6: Final answer
    x = 404,741.05

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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.