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Finding the Fourth Proportional to 316,812.94, 437,213.91 and 180,869.02

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Solution

The fourth proportional to 316,812.94, 437,213.91 and 180,869.02 is: 249,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,812.94 : 437,213.91 = 180,869.02 : x
  2. Step 2: Convert to fraction form
    316,812.94/437,213.91 = 180,869.02/x
  3. Step 3: Cross multiply
    316,812.94x = 437,213.91 × 180,869.02
  4. Step 4: Simplify right side
    316,812.94x = 79,078,451,432.07
  5. Step 5: Solve for x
    x = 79,078,451,432.07/316,812.94
  6. Step 6: Final answer
    x = 249,606.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.