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Finding the Fourth Proportional to 294,782.25, 406,799.91 and 160,646.25

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Solution

The fourth proportional to 294,782.25, 406,799.91 and 160,646.25 is: 221,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,782.25 : 406,799.91 = 160,646.25 : x
  2. Step 2: Convert to fraction form
    294,782.25/406,799.91 = 160,646.25/x
  3. Step 3: Cross multiply
    294,782.25x = 406,799.91 × 160,646.25
  4. Step 4: Simplify right side
    294,782.25x = 65,350,880,041.84
  5. Step 5: Solve for x
    x = 65,350,880,041.84/294,782.25
  6. Step 6: Final answer
    x = 221,692.05

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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.