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Finding the Fourth Proportional to 712,847.76, 983,604.87 and 406,784.40

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Solution

The fourth proportional to 712,847.76, 983,604.87 and 406,784.40 is: 561,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,847.76 : 983,604.87 = 406,784.40 : x
  2. Step 2: Convert to fraction form
    712,847.76/983,604.87 = 406,784.40/x
  3. Step 3: Cross multiply
    712,847.76x = 983,604.87 × 406,784.40
  4. Step 4: Simplify right side
    712,847.76x = 400,115,116,880.03
  5. Step 5: Solve for x
    x = 400,115,116,880.03/712,847.76
  6. Step 6: Final answer
    x = 561,291.12

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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.