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Finding the Fourth Proportional to 308,646.45, 463,014.03 and 95,430.98

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Solution

The fourth proportional to 308,646.45, 463,014.03 and 95,430.98 is: 143,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,646.45 : 463,014.03 = 95,430.98 : x
  2. Step 2: Convert to fraction form
    308,646.45/463,014.03 = 95,430.98/x
  3. Step 3: Cross multiply
    308,646.45x = 463,014.03 × 95,430.98
  4. Step 4: Simplify right side
    308,646.45x = 44,185,880,321.58
  5. Step 5: Solve for x
    x = 44,185,880,321.58/308,646.45
  6. Step 6: Final answer
    x = 143,160.18

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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.