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Finding the Fourth Proportional to 294,703.41, 406,690.71 and 160,567.41

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Solution

The fourth proportional to 294,703.41, 406,690.71 and 160,567.41 is: 221,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,703.41 : 406,690.71 = 160,567.41 : x
  2. Step 2: Convert to fraction form
    294,703.41/406,690.71 = 160,567.41/x
  3. Step 3: Cross multiply
    294,703.41x = 406,690.71 × 160,567.41
  4. Step 4: Simplify right side
    294,703.41x = 65,301,273,975.76
  5. Step 5: Solve for x
    x = 65,301,273,975.76/294,703.41
  6. Step 6: Final answer
    x = 221,583.03

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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.