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Finding the Fourth Proportional to 468,877.98, 701,307.56 and 434,842.80

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Solution

The fourth proportional to 468,877.98, 701,307.56 and 434,842.80 is: 650,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,877.98 : 701,307.56 = 434,842.80 : x
  2. Step 2: Convert to fraction form
    468,877.98/701,307.56 = 434,842.80/x
  3. Step 3: Cross multiply
    468,877.98x = 701,307.56 × 434,842.80
  4. Step 4: Simplify right side
    468,877.98x = 304,958,543,051.57
  5. Step 5: Solve for x
    x = 304,958,543,051.57/468,877.98
  6. Step 6: Final answer
    x = 650,400.65

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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.