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Finding the Fourth Proportional to 476,368.52, 714,009.22 and 191,876.98

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Solution

The fourth proportional to 476,368.52, 714,009.22 and 191,876.98 is: 287,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,368.52 : 714,009.22 = 191,876.98 : x
  2. Step 2: Convert to fraction form
    476,368.52/714,009.22 = 191,876.98/x
  3. Step 3: Cross multiply
    476,368.52x = 714,009.22 × 191,876.98
  4. Step 4: Simplify right side
    476,368.52x = 137,001,932,825.76
  5. Step 5: Solve for x
    x = 137,001,932,825.76/476,368.52
  6. Step 6: Final answer
    x = 287,596.53

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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.