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Finding the Fourth Proportional to 712,356.96, 983,043.36 and 406,425.44

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Solution

The fourth proportional to 712,356.96, 983,043.36 and 406,425.44 is: 560,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,356.96 : 983,043.36 = 406,425.44 : x
  2. Step 2: Convert to fraction form
    712,356.96/983,043.36 = 406,425.44/x
  3. Step 3: Cross multiply
    712,356.96x = 983,043.36 × 406,425.44
  4. Step 4: Simplify right side
    712,356.96x = 399,533,830,127.08
  5. Step 5: Solve for x
    x = 399,533,830,127.08/712,356.96
  6. Step 6: Final answer
    x = 560,861.83

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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.