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Finding the Fourth Proportional to 314,934.88, 434,649.36 and 180,796

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Solution

The fourth proportional to 314,934.88, 434,649.36 and 180,796 is: 249,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934.88 : 434,649.36 = 180,796 : x
  2. Step 2: Convert to fraction form
    314,934.88/434,649.36 = 180,796/x
  3. Step 3: Cross multiply
    314,934.88x = 434,649.36 × 180,796
  4. Step 4: Simplify right side
    314,934.88x = 78,582,865,690.56
  5. Step 5: Solve for x
    x = 78,582,865,690.56/314,934.88
  6. Step 6: Final answer
    x = 249,521.00

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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.