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Finding the Fourth Proportional to 712,849.64, 983,607.45 and 406,786.28

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Solution

The fourth proportional to 712,849.64, 983,607.45 and 406,786.28 is: 561,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,849.64 : 983,607.45 = 406,786.28 : x
  2. Step 2: Convert to fraction form
    712,849.64/983,607.45 = 406,786.28/x
  3. Step 3: Cross multiply
    712,849.64x = 983,607.45 × 406,786.28
  4. Step 4: Simplify right side
    712,849.64x = 400,118,010,647.75
  5. Step 5: Solve for x
    x = 400,118,010,647.75/712,849.64
  6. Step 6: Final answer
    x = 561,293.70

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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.