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Finding the Fourth Proportional to 698,428.16, 963,837.60 and 396,624.32

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Solution

The fourth proportional to 698,428.16, 963,837.60 and 396,624.32 is: 547,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,428.16 : 963,837.60 = 396,624.32 : x
  2. Step 2: Convert to fraction form
    698,428.16/963,837.60 = 396,624.32/x
  3. Step 3: Cross multiply
    698,428.16x = 963,837.60 × 396,624.32
  4. Step 4: Simplify right side
    698,428.16x = 382,281,432,690.43
  5. Step 5: Solve for x
    x = 382,281,432,690.43/698,428.16
  6. Step 6: Final answer
    x = 547,345.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.