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Finding the Fourth Proportional to 712,799.84, 983,696.16 and 406,958.96

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Solution

The fourth proportional to 712,799.84, 983,696.16 and 406,958.96 is: 561,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,799.84 : 983,696.16 = 406,958.96 : x
  2. Step 2: Convert to fraction form
    712,799.84/983,696.16 = 406,958.96/x
  3. Step 3: Cross multiply
    712,799.84x = 983,696.16 × 406,958.96
  4. Step 4: Simplify right side
    712,799.84x = 400,323,966,229.59
  5. Step 5: Solve for x
    x = 400,323,966,229.59/712,799.84
  6. Step 6: Final answer
    x = 561,621.85

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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.