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Finding the Fourth Proportional to 686,498.40, 947,368.08 and 418,226.40

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Solution

The fourth proportional to 686,498.40, 947,368.08 and 418,226.40 is: 577,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,498.40 : 947,368.08 = 418,226.40 : x
  2. Step 2: Convert to fraction form
    686,498.40/947,368.08 = 418,226.40/x
  3. Step 3: Cross multiply
    686,498.40x = 947,368.08 × 418,226.40
  4. Step 4: Simplify right side
    686,498.40x = 396,214,341,573.31
  5. Step 5: Solve for x
    x = 396,214,341,573.31/686,498.40
  6. Step 6: Final answer
    x = 577,152.61

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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.