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Finding the Fourth Proportional to 497,451, 686,413.14 and 279,628.88

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Solution

The fourth proportional to 497,451, 686,413.14 and 279,628.88 is: 385,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,451 : 686,413.14 = 279,628.88 : x
  2. Step 2: Convert to fraction form
    497,451/686,413.14 = 279,628.88/x
  3. Step 3: Cross multiply
    497,451x = 686,413.14 × 279,628.88
  4. Step 4: Simplify right side
    497,451x = 191,940,937,555.48
  5. Step 5: Solve for x
    x = 191,940,937,555.48/497,451
  6. Step 6: Final answer
    x = 385,848.93

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1.5x scale

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.