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Finding the Fourth Proportional to 228,064.34, 314,728.00 and 127,462.34

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Solution

The fourth proportional to 228,064.34, 314,728.00 and 127,462.34 is: 175,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,064.34 : 314,728.00 = 127,462.34 : x
  2. Step 2: Convert to fraction form
    228,064.34/314,728.00 = 127,462.34/x
  3. Step 3: Cross multiply
    228,064.34x = 314,728.00 × 127,462.34
  4. Step 4: Simplify right side
    228,064.34x = 40,115,965,451.22
  5. Step 5: Solve for x
    x = 40,115,965,451.22/228,064.34
  6. Step 6: Final answer
    x = 175,897.58

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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.