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Finding the Fourth Proportional to 712,675.34, 983,507.85 and 406,745.58

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Solution

The fourth proportional to 712,675.34, 983,507.85 and 406,745.58 is: 561,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,675.34 : 983,507.85 = 406,745.58 : x
  2. Step 2: Convert to fraction form
    712,675.34/983,507.85 = 406,745.58/x
  3. Step 3: Cross multiply
    712,675.34x = 983,507.85 × 406,745.58
  4. Step 4: Simplify right side
    712,675.34x = 400,037,465,128.63
  5. Step 5: Solve for x
    x = 400,037,465,128.63/712,675.34
  6. Step 6: Final answer
    x = 561,317.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.