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Finding the Fourth Proportional to 316,953.94, 475,427.30 and 77,069.20

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Solution

The fourth proportional to 316,953.94, 475,427.30 and 77,069.20 is: 115,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,953.94 : 475,427.30 = 77,069.20 : x
  2. Step 2: Convert to fraction form
    316,953.94/475,427.30 = 77,069.20/x
  3. Step 3: Cross multiply
    316,953.94x = 475,427.30 × 77,069.20
  4. Step 4: Simplify right side
    316,953.94x = 36,640,801,669.16
  5. Step 5: Solve for x
    x = 36,640,801,669.16/316,953.94
  6. Step 6: Final answer
    x = 115,602.92

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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.