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Finding the Fourth Proportional to 308,525.65, 462,834.65 and 98,210.77

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Solution

The fourth proportional to 308,525.65, 462,834.65 and 98,210.77 is: 147,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,525.65 : 462,834.65 = 98,210.77 : x
  2. Step 2: Convert to fraction form
    308,525.65/462,834.65 = 98,210.77/x
  3. Step 3: Cross multiply
    308,525.65x = 462,834.65 × 98,210.77
  4. Step 4: Simplify right side
    308,525.65x = 45,455,347,359.18
  5. Step 5: Solve for x
    x = 45,455,347,359.18/308,525.65
  6. Step 6: Final answer
    x = 147,330.85

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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.