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Finding the Fourth Proportional to 475,374.30, 713,061.45 and 208,851.90

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Solution

The fourth proportional to 475,374.30, 713,061.45 and 208,851.90 is: 313,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,374.30 : 713,061.45 = 208,851.90 : x
  2. Step 2: Convert to fraction form
    475,374.30/713,061.45 = 208,851.90/x
  3. Step 3: Cross multiply
    475,374.30x = 713,061.45 × 208,851.90
  4. Step 4: Simplify right side
    475,374.30x = 148,924,238,649.26
  5. Step 5: Solve for x
    x = 148,924,238,649.26/475,374.30
  6. Step 6: Final answer
    x = 313,277.85

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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.