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Finding the Fourth Proportional to 712,323.94, 983,033.52 and 406,450.12

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Solution

The fourth proportional to 712,323.94, 983,033.52 and 406,450.12 is: 560,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,323.94 : 983,033.52 = 406,450.12 : x
  2. Step 2: Convert to fraction form
    712,323.94/983,033.52 = 406,450.12/x
  3. Step 3: Cross multiply
    712,323.94x = 983,033.52 × 406,450.12
  4. Step 4: Simplify right side
    712,323.94x = 399,554,092,168.02
  5. Step 5: Solve for x
    x = 399,554,092,168.02/712,323.94
  6. Step 6: Final answer
    x = 560,916.28

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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.