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Finding the Fourth Proportional to 698,068.16, 963,820.32 and 468,974.24

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Solution

The fourth proportional to 698,068.16, 963,820.32 and 468,974.24 is: 647,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,068.16 : 963,820.32 = 468,974.24 : x
  2. Step 2: Convert to fraction form
    698,068.16/963,820.32 = 468,974.24/x
  3. Step 3: Cross multiply
    698,068.16x = 963,820.32 × 468,974.24
  4. Step 4: Simplify right side
    698,068.16x = 452,006,902,068.56
  5. Step 5: Solve for x
    x = 452,006,902,068.56/698,068.16
  6. Step 6: Final answer
    x = 647,511.13

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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.