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Finding the Fourth Proportional to 308,756.24, 463,125.72 and 98,406.80

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Solution

The fourth proportional to 308,756.24, 463,125.72 and 98,406.80 is: 147,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,756.24 : 463,125.72 = 98,406.80 : x
  2. Step 2: Convert to fraction form
    308,756.24/463,125.72 = 98,406.80/x
  3. Step 3: Cross multiply
    308,756.24x = 463,125.72 × 98,406.80
  4. Step 4: Simplify right side
    308,756.24x = 45,574,720,102.90
  5. Step 5: Solve for x
    x = 45,574,720,102.90/308,756.24
  6. Step 6: Final answer
    x = 147,607.45

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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.