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Finding the Fourth Proportional to 508,102.94, 701,131.52 and 293,312.21

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Solution

The fourth proportional to 508,102.94, 701,131.52 and 293,312.21 is: 404,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.94 : 701,131.52 = 293,312.21 : x
  2. Step 2: Convert to fraction form
    508,102.94/701,131.52 = 293,312.21/x
  3. Step 3: Cross multiply
    508,102.94x = 701,131.52 × 293,312.21
  4. Step 4: Simplify right side
    508,102.94x = 205,650,430,659.64
  5. Step 5: Solve for x
    x = 205,650,430,659.64/508,102.94
  6. Step 6: Final answer
    x = 404,741.67

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1.5x scale

Why These Related Problems?

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