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Finding the Fourth Proportional to 315,076.74, 472,676.62 and 101,897.60

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Solution

The fourth proportional to 315,076.74, 472,676.62 and 101,897.60 is: 152,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,076.74 : 472,676.62 = 101,897.60 : x
  2. Step 2: Convert to fraction form
    315,076.74/472,676.62 = 101,897.60/x
  3. Step 3: Cross multiply
    315,076.74x = 472,676.62 × 101,897.60
  4. Step 4: Simplify right side
    315,076.74x = 48,164,613,154.11
  5. Step 5: Solve for x
    x = 48,164,613,154.11/315,076.74
  6. Step 6: Final answer
    x = 152,866.29

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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.