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Finding the Fourth Proportional to 306,973.36, 460,748 and 188,875.36

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Solution

The fourth proportional to 306,973.36, 460,748 and 188,875.36 is: 283,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,973.36 : 460,748 = 188,875.36 : x
  2. Step 2: Convert to fraction form
    306,973.36/460,748 = 188,875.36/x
  3. Step 3: Cross multiply
    306,973.36x = 460,748 × 188,875.36
  4. Step 4: Simplify right side
    306,973.36x = 87,023,944,369.28
  5. Step 5: Solve for x
    x = 87,023,944,369.28/306,973.36
  6. Step 6: Final answer
    x = 283,490.22

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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.