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Finding the Fourth Proportional to 506,564.18, 699,064.08 and 277,116.52

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Solution

The fourth proportional to 506,564.18, 699,064.08 and 277,116.52 is: 382,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,564.18 : 699,064.08 = 277,116.52 : x
  2. Step 2: Convert to fraction form
    506,564.18/699,064.08 = 277,116.52/x
  3. Step 3: Cross multiply
    506,564.18x = 699,064.08 × 277,116.52
  4. Step 4: Simplify right side
    506,564.18x = 193,722,205,106.60
  5. Step 5: Solve for x
    x = 193,722,205,106.60/506,564.18
  6. Step 6: Final answer
    x = 382,423.81

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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.