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Finding the Fourth Proportional to 712,981.42, 983,914.36 and 411,175.42

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Solution

The fourth proportional to 712,981.42, 983,914.36 and 411,175.42 is: 567,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,981.42 : 983,914.36 = 411,175.42 : x
  2. Step 2: Convert to fraction form
    712,981.42/983,914.36 = 411,175.42/x
  3. Step 3: Cross multiply
    712,981.42x = 983,914.36 × 411,175.42
  4. Step 4: Simplify right side
    712,981.42x = 404,561,400,217.03
  5. Step 5: Solve for x
    x = 404,561,400,217.03/712,981.42
  6. Step 6: Final answer
    x = 567,422.08

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Double scale
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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.