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Finding the Fourth Proportional to 508,584, 701,975.04 and 347,504.32

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Solution

The fourth proportional to 508,584, 701,975.04 and 347,504.32 is: 479,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,584 : 701,975.04 = 347,504.32 : x
  2. Step 2: Convert to fraction form
    508,584/701,975.04 = 347,504.32/x
  3. Step 3: Cross multiply
    508,584x = 701,975.04 × 347,504.32
  4. Step 4: Simplify right side
    508,584x = 243,939,358,932.17
  5. Step 5: Solve for x
    x = 243,939,358,932.17/508,584
  6. Step 6: Final answer
    x = 479,644.19

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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.