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Finding the Fourth Proportional to 506,564.42, 699,064.43 and 277,116.80

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Solution

The fourth proportional to 506,564.42, 699,064.43 and 277,116.80 is: 382,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,564.42 : 699,064.43 = 277,116.80 : x
  2. Step 2: Convert to fraction form
    506,564.42/699,064.43 = 277,116.80/x
  3. Step 3: Cross multiply
    506,564.42x = 699,064.43 × 277,116.80
  4. Step 4: Simplify right side
    506,564.42x = 193,722,492,954.52
  5. Step 5: Solve for x
    x = 193,722,492,954.52/506,564.42
  6. Step 6: Final answer
    x = 382,424.20

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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.