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Finding the Fourth Proportional to 686,479.40, 947,365.30 and 414,493.14

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Solution

The fourth proportional to 686,479.40, 947,365.30 and 414,493.14 is: 572,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,479.40 : 947,365.30 = 414,493.14 : x
  2. Step 2: Convert to fraction form
    686,479.40/947,365.30 = 414,493.14/x
  3. Step 3: Cross multiply
    686,479.40x = 947,365.30 × 414,493.14
  4. Step 4: Simplify right side
    686,479.40x = 392,676,417,924.04
  5. Step 5: Solve for x
    x = 392,676,417,924.04/686,479.40
  6. Step 6: Final answer
    x = 572,014.86

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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.