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Finding the Fourth Proportional to 461,094.64, 636,309.34 and 257,145.77

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Solution

The fourth proportional to 461,094.64, 636,309.34 and 257,145.77 is: 354,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,094.64 : 636,309.34 = 257,145.77 : x
  2. Step 2: Convert to fraction form
    461,094.64/636,309.34 = 257,145.77/x
  3. Step 3: Cross multiply
    461,094.64x = 636,309.34 × 257,145.77
  4. Step 4: Simplify right side
    461,094.64x = 163,624,256,140.40
  5. Step 5: Solve for x
    x = 163,624,256,140.40/461,094.64
  6. Step 6: Final answer
    x = 354,860.46

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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.