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Finding the Fourth Proportional to 294,953.64, 407,030.82 and 160,817.64

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Solution

The fourth proportional to 294,953.64, 407,030.82 and 160,817.64 is: 221,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,953.64 : 407,030.82 = 160,817.64 : x
  2. Step 2: Convert to fraction form
    294,953.64/407,030.82 = 160,817.64/x
  3. Step 3: Cross multiply
    294,953.64x = 407,030.82 × 160,817.64
  4. Step 4: Simplify right side
    294,953.64x = 65,457,735,879.66
  5. Step 5: Solve for x
    x = 65,457,735,879.66/294,953.64
  6. Step 6: Final answer
    x = 221,925.51

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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.