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Finding the Fourth Proportional to 697,560, 1,046,349.84 and 198,924

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Solution

The fourth proportional to 697,560, 1,046,349.84 and 198,924 is: 298,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,560 : 1,046,349.84 = 198,924 : x
  2. Step 2: Convert to fraction form
    697,560/1,046,349.84 = 198,924/x
  3. Step 3: Cross multiply
    697,560x = 1,046,349.84 × 198,924
  4. Step 4: Simplify right side
    697,560x = 208,144,095,572.16
  5. Step 5: Solve for x
    x = 208,144,095,572.16/697,560
  6. Step 6: Final answer
    x = 298,388.81

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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.