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Finding the Fourth Proportional to 712,833.24, 983,736.99 and 406,959.42

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Solution

The fourth proportional to 712,833.24, 983,736.99 and 406,959.42 is: 561,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,833.24 : 983,736.99 = 406,959.42 : x
  2. Step 2: Convert to fraction form
    712,833.24/983,736.99 = 406,959.42/x
  3. Step 3: Cross multiply
    712,833.24x = 983,736.99 × 406,959.42
  4. Step 4: Simplify right side
    712,833.24x = 400,341,034,882.95
  5. Step 5: Solve for x
    x = 400,341,034,882.95/712,833.24
  6. Step 6: Final answer
    x = 561,619.48

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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.