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Finding the Fourth Proportional to 475,780.26, 713,492.53 and 191,374.70

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Solution

The fourth proportional to 475,780.26, 713,492.53 and 191,374.70 is: 286,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,780.26 : 713,492.53 = 191,374.70 : x
  2. Step 2: Convert to fraction form
    475,780.26/713,492.53 = 191,374.70/x
  3. Step 3: Cross multiply
    475,780.26x = 713,492.53 × 191,374.70
  4. Step 4: Simplify right side
    475,780.26x = 136,544,418,402.55
  5. Step 5: Solve for x
    x = 136,544,418,402.55/475,780.26
  6. Step 6: Final answer
    x = 286,990.51

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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.