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Finding the Fourth Proportional to 464,999.04, 641,891.52 and 314,300.16

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Solution

The fourth proportional to 464,999.04, 641,891.52 and 314,300.16 is: 433,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,999.04 : 641,891.52 = 314,300.16 : x
  2. Step 2: Convert to fraction form
    464,999.04/641,891.52 = 314,300.16/x
  3. Step 3: Cross multiply
    464,999.04x = 641,891.52 × 314,300.16
  4. Step 4: Simplify right side
    464,999.04x = 201,746,607,438.64
  5. Step 5: Solve for x
    x = 201,746,607,438.64/464,999.04
  6. Step 6: Final answer
    x = 433,864.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.