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Finding the Fourth Proportional to 359,384.31, 538,618.48 and 190,985.31

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Solution

The fourth proportional to 359,384.31, 538,618.48 and 190,985.31 is: 286,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,384.31 : 538,618.48 = 190,985.31 : x
  2. Step 2: Convert to fraction form
    359,384.31/538,618.48 = 190,985.31/x
  3. Step 3: Cross multiply
    359,384.31x = 538,618.48 × 190,985.31
  4. Step 4: Simplify right side
    359,384.31x = 102,868,216,897.07
  5. Step 5: Solve for x
    x = 102,868,216,897.07/359,384.31
  6. Step 6: Final answer
    x = 286,234.58

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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.