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Finding the Fourth Proportional to 294,866.58, 406,914.93 and 160,730.58

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Solution

The fourth proportional to 294,866.58, 406,914.93 and 160,730.58 is: 221,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,866.58 : 406,914.93 = 160,730.58 : x
  2. Step 2: Convert to fraction form
    294,866.58/406,914.93 = 160,730.58/x
  3. Step 3: Cross multiply
    294,866.58x = 406,914.93 × 160,730.58
  4. Step 4: Simplify right side
    294,866.58x = 65,403,672,709.56
  5. Step 5: Solve for x
    x = 65,403,672,709.56/294,866.58
  6. Step 6: Final answer
    x = 221,807.68

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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.