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Finding the Fourth Proportional to 464,438.95, 698,233.20 and 370,864.51

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Solution

The fourth proportional to 464,438.95, 698,233.20 and 370,864.51 is: 557,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,438.95 : 698,233.20 = 370,864.51 : x
  2. Step 2: Convert to fraction form
    464,438.95/698,233.20 = 370,864.51/x
  3. Step 3: Cross multiply
    464,438.95x = 698,233.20 × 370,864.51
  4. Step 4: Simplify right side
    464,438.95x = 258,949,913,583.73
  5. Step 5: Solve for x
    x = 258,949,913,583.73/464,438.95
  6. Step 6: Final answer
    x = 557,554.26

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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.