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Finding the Fourth Proportional to 712,598.12, 983,141.30 and 406,454.52

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Solution

The fourth proportional to 712,598.12, 983,141.30 and 406,454.52 is: 560,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,598.12 : 983,141.30 = 406,454.52 : x
  2. Step 2: Convert to fraction form
    712,598.12/983,141.30 = 406,454.52/x
  3. Step 3: Cross multiply
    712,598.12x = 983,141.30 × 406,454.52
  4. Step 4: Simplify right side
    712,598.12x = 399,602,225,183.68
  5. Step 5: Solve for x
    x = 399,602,225,183.68/712,598.12
  6. Step 6: Final answer
    x = 560,768.00

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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.