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Finding the Fourth Proportional to 293,783.52, 405,421.24 and 159,647.52

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Solution

The fourth proportional to 293,783.52, 405,421.24 and 159,647.52 is: 220,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,783.52 : 405,421.24 = 159,647.52 : x
  2. Step 2: Convert to fraction form
    293,783.52/405,421.24 = 159,647.52/x
  3. Step 3: Cross multiply
    293,783.52x = 405,421.24 × 159,647.52
  4. Step 4: Simplify right side
    293,783.52x = 64,724,495,521.32
  5. Step 5: Solve for x
    x = 64,724,495,521.32/293,783.52
  6. Step 6: Final answer
    x = 220,313.57

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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.