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Finding the Fourth Proportional to 464,554.80, 696,361.58 and 314,810.24

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Solution

The fourth proportional to 464,554.80, 696,361.58 and 314,810.24 is: 471,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,554.80 : 696,361.58 = 314,810.24 : x
  2. Step 2: Convert to fraction form
    464,554.80/696,361.58 = 314,810.24/x
  3. Step 3: Cross multiply
    464,554.80x = 696,361.58 × 314,810.24
  4. Step 4: Simplify right side
    464,554.80x = 219,221,751,070.72
  5. Step 5: Solve for x
    x = 219,221,751,070.72/464,554.80
  6. Step 6: Final answer
    x = 471,896.43

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1.5x scale

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.