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Finding the Fourth Proportional to 277,304.72, 414,862.65 and 210,030.60

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Solution

The fourth proportional to 277,304.72, 414,862.65 and 210,030.60 is: 314,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,304.72 : 414,862.65 = 210,030.60 : x
  2. Step 2: Convert to fraction form
    277,304.72/414,862.65 = 210,030.60/x
  3. Step 3: Cross multiply
    277,304.72x = 414,862.65 × 210,030.60
  4. Step 4: Simplify right side
    277,304.72x = 87,133,851,297.09
  5. Step 5: Solve for x
    x = 87,133,851,297.09/277,304.72
  6. Step 6: Final answer
    x = 314,216.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.