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Finding the Fourth Proportional to 294,140.32, 405,909.84 and 160,004.32

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Solution

The fourth proportional to 294,140.32, 405,909.84 and 160,004.32 is: 220,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,140.32 : 405,909.84 = 160,004.32 : x
  2. Step 2: Convert to fraction form
    294,140.32/405,909.84 = 160,004.32/x
  3. Step 3: Cross multiply
    294,140.32x = 405,909.84 × 160,004.32
  4. Step 4: Simplify right side
    294,140.32x = 64,947,327,930.51
  5. Step 5: Solve for x
    x = 64,947,327,930.51/294,140.32
  6. Step 6: Final answer
    x = 220,803.89

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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.