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Finding the Fourth Proportional to 512,365.26, 706,970.88 and 359,869.38

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Solution

The fourth proportional to 512,365.26, 706,970.88 and 359,869.38 is: 496,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,365.26 : 706,970.88 = 359,869.38 : x
  2. Step 2: Convert to fraction form
    512,365.26/706,970.88 = 359,869.38/x
  3. Step 3: Cross multiply
    512,365.26x = 706,970.88 × 359,869.38
  4. Step 4: Simplify right side
    512,365.26x = 254,417,172,263.65
  5. Step 5: Solve for x
    x = 254,417,172,263.65/512,365.26
  6. Step 6: Final answer
    x = 496,554.30

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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.