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Finding the Fourth Proportional to 508,835.04, 702,142.62 and 293,970.50

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Solution

The fourth proportional to 508,835.04, 702,142.62 and 293,970.50 is: 405,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,835.04 : 702,142.62 = 293,970.50 : x
  2. Step 2: Convert to fraction form
    508,835.04/702,142.62 = 293,970.50/x
  3. Step 3: Cross multiply
    508,835.04x = 702,142.62 × 293,970.50
  4. Step 4: Simplify right side
    508,835.04x = 206,409,217,072.71
  5. Step 5: Solve for x
    x = 206,409,217,072.71/508,835.04
  6. Step 6: Final answer
    x = 405,650.56

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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.