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Finding the Fourth Proportional to 316,715.77, 437,074.87 and 180,747.01

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Solution

The fourth proportional to 316,715.77, 437,074.87 and 180,747.01 is: 249,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,715.77 : 437,074.87 = 180,747.01 : x
  2. Step 2: Convert to fraction form
    316,715.77/437,074.87 = 180,747.01/x
  3. Step 3: Cross multiply
    316,715.77x = 437,074.87 × 180,747.01
  4. Step 4: Simplify right side
    316,715.77x = 78,999,976,332.02
  5. Step 5: Solve for x
    x = 78,999,976,332.02/316,715.77
  6. Step 6: Final answer
    x = 249,434.93

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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.