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Finding the Fourth Proportional to 476,389.32, 714,040.40 and 191,897.82

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Solution

The fourth proportional to 476,389.32, 714,040.40 and 191,897.82 is: 287,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,389.32 : 714,040.40 = 191,897.82 : x
  2. Step 2: Convert to fraction form
    476,389.32/714,040.40 = 191,897.82/x
  3. Step 3: Cross multiply
    476,389.32x = 714,040.40 × 191,897.82
  4. Step 4: Simplify right side
    476,389.32x = 137,022,796,151.93
  5. Step 5: Solve for x
    x = 137,022,796,151.93/476,389.32
  6. Step 6: Final answer
    x = 287,627.77

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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.