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Finding the Fourth Proportional to 406,954.80, 611,015.40 and 307,810.80

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Solution

The fourth proportional to 406,954.80, 611,015.40 and 307,810.80 is: 462,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954.80 : 611,015.40 = 307,810.80 : x
  2. Step 2: Convert to fraction form
    406,954.80/611,015.40 = 307,810.80/x
  3. Step 3: Cross multiply
    406,954.80x = 611,015.40 × 307,810.80
  4. Step 4: Simplify right side
    406,954.80x = 188,077,139,086.32
  5. Step 5: Solve for x
    x = 188,077,139,086.32/406,954.80
  6. Step 6: Final answer
    x = 462,157.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.