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Finding the Fourth Proportional to 698,500.04, 963,761.88 and 407,946.82

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Solution

The fourth proportional to 698,500.04, 963,761.88 and 407,946.82 is: 562,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,500.04 : 963,761.88 = 407,946.82 : x
  2. Step 2: Convert to fraction form
    698,500.04/963,761.88 = 407,946.82/x
  3. Step 3: Cross multiply
    698,500.04x = 963,761.88 × 407,946.82
  4. Step 4: Simplify right side
    698,500.04x = 393,163,594,183.22
  5. Step 5: Solve for x
    x = 393,163,594,183.22/698,500.04
  6. Step 6: Final answer
    x = 562,868.39

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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.