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Finding the Fourth Proportional to 697,495, 1,046,252.24 and 198,859

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Solution

The fourth proportional to 697,495, 1,046,252.24 and 198,859 is: 298,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,495 : 1,046,252.24 = 198,859 : x
  2. Step 2: Convert to fraction form
    697,495/1,046,252.24 = 198,859/x
  3. Step 3: Cross multiply
    697,495x = 1,046,252.24 × 198,859
  4. Step 4: Simplify right side
    697,495x = 208,056,674,194.16
  5. Step 5: Solve for x
    x = 208,056,674,194.16/697,495
  6. Step 6: Final answer
    x = 298,291.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.