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Finding the Fourth Proportional to 712,564.09, 983,354.36 and 406,634.38

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Solution

The fourth proportional to 712,564.09, 983,354.36 and 406,634.38 is: 561,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,564.09 : 983,354.36 = 406,634.38 : x
  2. Step 2: Convert to fraction form
    712,564.09/983,354.36 = 406,634.38/x
  3. Step 3: Cross multiply
    712,564.09x = 983,354.36 × 406,634.38
  4. Step 4: Simplify right side
    712,564.09x = 399,865,683,548.95
  5. Step 5: Solve for x
    x = 399,865,683,548.95/712,564.09
  6. Step 6: Final answer
    x = 561,164.52

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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.