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Finding the Fourth Proportional to 406,114.64, 560,496.85 and 233,999.64

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Solution

The fourth proportional to 406,114.64, 560,496.85 and 233,999.64 is: 322,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,114.64 : 560,496.85 = 233,999.64 : x
  2. Step 2: Convert to fraction form
    406,114.64/560,496.85 = 233,999.64/x
  3. Step 3: Cross multiply
    406,114.64x = 560,496.85 × 233,999.64
  4. Step 4: Simplify right side
    406,114.64x = 131,156,060,536.14
  5. Step 5: Solve for x
    x = 131,156,060,536.14/406,114.64
  6. Step 6: Final answer
    x = 322,953.30

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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.