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Finding the Fourth Proportional to 464,106.16, 640,451.40 and 273,130

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Solution

The fourth proportional to 464,106.16, 640,451.40 and 273,130 is: 376,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,106.16 : 640,451.40 = 273,130 : x
  2. Step 2: Convert to fraction form
    464,106.16/640,451.40 = 273,130/x
  3. Step 3: Cross multiply
    464,106.16x = 640,451.40 × 273,130
  4. Step 4: Simplify right side
    464,106.16x = 174,926,490,882
  5. Step 5: Solve for x
    x = 174,926,490,882/464,106.16
  6. Step 6: Final answer
    x = 376,910.51

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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.