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Finding the Fourth Proportional to 382,388.10, 573,582.15 and 133,070.10

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Solution

The fourth proportional to 382,388.10, 573,582.15 and 133,070.10 is: 199,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,388.10 : 573,582.15 = 133,070.10 : x
  2. Step 2: Convert to fraction form
    382,388.10/573,582.15 = 133,070.10/x
  3. Step 3: Cross multiply
    382,388.10x = 573,582.15 × 133,070.10
  4. Step 4: Simplify right side
    382,388.10x = 76,326,634,058.72
  5. Step 5: Solve for x
    x = 76,326,634,058.72/382,388.10
  6. Step 6: Final answer
    x = 199,605.15

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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.