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Finding the Fourth Proportional to 464,554.98, 696,361.86 and 314,810.42

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Solution

The fourth proportional to 464,554.98, 696,361.86 and 314,810.42 is: 471,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,554.98 : 696,361.86 = 314,810.42 : x
  2. Step 2: Convert to fraction form
    464,554.98/696,361.86 = 314,810.42/x
  3. Step 3: Cross multiply
    464,554.98x = 696,361.86 × 314,810.42
  4. Step 4: Simplify right side
    464,554.98x = 219,221,966,136.77
  5. Step 5: Solve for x
    x = 219,221,966,136.77/464,554.98
  6. Step 6: Final answer
    x = 471,896.71

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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.