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Finding the Fourth Proportional to 560,133.77, 773,054.15 and 342,297.63

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Solution

The fourth proportional to 560,133.77, 773,054.15 and 342,297.63 is: 472,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,133.77 : 773,054.15 = 342,297.63 : x
  2. Step 2: Convert to fraction form
    560,133.77/773,054.15 = 342,297.63/x
  3. Step 3: Cross multiply
    560,133.77x = 773,054.15 × 342,297.63
  4. Step 4: Simplify right side
    560,133.77x = 264,614,601,695.18
  5. Step 5: Solve for x
    x = 264,614,601,695.18/560,133.77
  6. Step 6: Final answer
    x = 472,413.23

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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.