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Finding the Fourth Proportional to 712,658.97, 983,485.23 and 406,729.26

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Solution

The fourth proportional to 712,658.97, 983,485.23 and 406,729.26 is: 561,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,658.97 : 983,485.23 = 406,729.26 : x
  2. Step 2: Convert to fraction form
    712,658.97/983,485.23 = 406,729.26/x
  3. Step 3: Cross multiply
    712,658.97x = 983,485.23 × 406,729.26
  4. Step 4: Simplify right side
    712,658.97x = 400,012,219,818.83
  5. Step 5: Solve for x
    x = 400,012,219,818.83/712,658.97
  6. Step 6: Final answer
    x = 561,295.43

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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.