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Finding the Fourth Proportional to 570,047.44, 786,542.92 and 343,688.08

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Solution

The fourth proportional to 570,047.44, 786,542.92 and 343,688.08 is: 474,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,047.44 : 786,542.92 = 343,688.08 : x
  2. Step 2: Convert to fraction form
    570,047.44/786,542.92 = 343,688.08/x
  3. Step 3: Cross multiply
    570,047.44x = 786,542.92 × 343,688.08
  4. Step 4: Simplify right side
    570,047.44x = 270,325,426,012.39
  5. Step 5: Solve for x
    x = 270,325,426,012.39/570,047.44
  6. Step 6: Final answer
    x = 474,215.67

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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.