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Finding the Fourth Proportional to 310,245.24, 465,468.18 and 152,362.98

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Solution

The fourth proportional to 310,245.24, 465,468.18 and 152,362.98 is: 228,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,245.24 : 465,468.18 = 152,362.98 : x
  2. Step 2: Convert to fraction form
    310,245.24/465,468.18 = 152,362.98/x
  3. Step 3: Cross multiply
    310,245.24x = 465,468.18 × 152,362.98
  4. Step 4: Simplify right side
    310,245.24x = 70,920,118,999.98
  5. Step 5: Solve for x
    x = 70,920,118,999.98/310,245.24
  6. Step 6: Final answer
    x = 228,593.74

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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.