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Finding the Fourth Proportional to 712,328.94, 983,040.42 and 406,455.12

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Solution

The fourth proportional to 712,328.94, 983,040.42 and 406,455.12 is: 560,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,328.94 : 983,040.42 = 406,455.12 : x
  2. Step 2: Convert to fraction form
    712,328.94/983,040.42 = 406,455.12/x
  3. Step 3: Cross multiply
    712,328.94x = 983,040.42 × 406,455.12
  4. Step 4: Simplify right side
    712,328.94x = 399,561,811,875.95
  5. Step 5: Solve for x
    x = 399,561,811,875.95/712,328.94
  6. Step 6: Final answer
    x = 560,923.18

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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.