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Finding the Fourth Proportional to 509,997.55, 703,782.51 and 277,416.77

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Solution

The fourth proportional to 509,997.55, 703,782.51 and 277,416.77 is: 382,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,997.55 : 703,782.51 = 277,416.77 : x
  2. Step 2: Convert to fraction form
    509,997.55/703,782.51 = 277,416.77/x
  3. Step 3: Cross multiply
    509,997.55x = 703,782.51 × 277,416.77
  4. Step 4: Simplify right side
    509,997.55x = 195,241,066,147.47
  5. Step 5: Solve for x
    x = 195,241,066,147.47/509,997.55
  6. Step 6: Final answer
    x = 382,827.46

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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.