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Finding the Fourth Proportional to 511,871.60, 767,807.34 and 174,915.16

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Solution

The fourth proportional to 511,871.60, 767,807.34 and 174,915.16 is: 262,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,871.60 : 767,807.34 = 174,915.16 : x
  2. Step 2: Convert to fraction form
    511,871.60/767,807.34 = 174,915.16/x
  3. Step 3: Cross multiply
    511,871.60x = 767,807.34 × 174,915.16
  4. Step 4: Simplify right side
    511,871.60x = 134,301,143,725.27
  5. Step 5: Solve for x
    x = 134,301,143,725.27/511,871.60
  6. Step 6: Final answer
    x = 262,372.72

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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.