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Finding the Fourth Proportional to 307,070.04, 460,255.65 and 186,861.87

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Solution

The fourth proportional to 307,070.04, 460,255.65 and 186,861.87 is: 280,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,070.04 : 460,255.65 = 186,861.87 : x
  2. Step 2: Convert to fraction form
    307,070.04/460,255.65 = 186,861.87/x
  3. Step 3: Cross multiply
    307,070.04x = 460,255.65 × 186,861.87
  4. Step 4: Simplify right side
    307,070.04x = 86,004,231,437.07
  5. Step 5: Solve for x
    x = 86,004,231,437.07/307,070.04
  6. Step 6: Final answer
    x = 280,080.18

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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.