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Finding the Fourth Proportional to 294,912.99, 406,985.72 and 160,776.99

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Solution

The fourth proportional to 294,912.99, 406,985.72 and 160,776.99 is: 221,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,912.99 : 406,985.72 = 160,776.99 : x
  2. Step 2: Convert to fraction form
    294,912.99/406,985.72 = 160,776.99/x
  3. Step 3: Cross multiply
    294,912.99x = 406,985.72 × 160,776.99
  4. Step 4: Simplify right side
    294,912.99x = 65,433,938,230.70
  5. Step 5: Solve for x
    x = 65,433,938,230.70/294,912.99
  6. Step 6: Final answer
    x = 221,875.40

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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.