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Finding the Fourth Proportional to 284,632.29, 426,933.05 and 144,387.27

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Solution

The fourth proportional to 284,632.29, 426,933.05 and 144,387.27 is: 216,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,632.29 : 426,933.05 = 144,387.27 : x
  2. Step 2: Convert to fraction form
    284,632.29/426,933.05 = 144,387.27/x
  3. Step 3: Cross multiply
    284,632.29x = 426,933.05 × 144,387.27
  4. Step 4: Simplify right side
    284,632.29x = 61,643,696,840.34
  5. Step 5: Solve for x
    x = 61,643,696,840.34/284,632.29
  6. Step 6: Final answer
    x = 216,573.10

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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.