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Finding the Fourth Proportional to 509,973.24, 765,126.26 and 243,754.50

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Solution

The fourth proportional to 509,973.24, 765,126.26 and 243,754.50 is: 365,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,973.24 : 765,126.26 = 243,754.50 : x
  2. Step 2: Convert to fraction form
    509,973.24/765,126.26 = 243,754.50/x
  3. Step 3: Cross multiply
    509,973.24x = 765,126.26 × 243,754.50
  4. Step 4: Simplify right side
    509,973.24x = 186,502,968,943.17
  5. Step 5: Solve for x
    x = 186,502,968,943.17/509,973.24
  6. Step 6: Final answer
    x = 365,711.29

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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.