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Finding the Fourth Proportional to 310,289.23, 465,424.58 and 85,663.37

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Solution

The fourth proportional to 310,289.23, 465,424.58 and 85,663.37 is: 128,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,289.23 : 465,424.58 = 85,663.37 : x
  2. Step 2: Convert to fraction form
    310,289.23/465,424.58 = 85,663.37/x
  3. Step 3: Cross multiply
    310,289.23x = 465,424.58 × 85,663.37
  4. Step 4: Simplify right side
    310,289.23x = 39,869,835,248.19
  5. Step 5: Solve for x
    x = 39,869,835,248.19/310,289.23
  6. Step 6: Final answer
    x = 128,492.49

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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.