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Finding the Fourth Proportional to 578,113.12, 797,266 and 496,413.56

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Solution

The fourth proportional to 578,113.12, 797,266 and 496,413.56 is: 684,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,113.12 : 797,266 = 496,413.56 : x
  2. Step 2: Convert to fraction form
    578,113.12/797,266 = 496,413.56/x
  3. Step 3: Cross multiply
    578,113.12x = 797,266 × 496,413.56
  4. Step 4: Simplify right side
    578,113.12x = 395,773,653,326.96
  5. Step 5: Solve for x
    x = 395,773,653,326.96/578,113.12
  6. Step 6: Final answer
    x = 684,595.52

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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.