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Finding the Fourth Proportional to 438,064.02, 657,094.14 and 171,636.40

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Solution

The fourth proportional to 438,064.02, 657,094.14 and 171,636.40 is: 257,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,064.02 : 657,094.14 = 171,636.40 : x
  2. Step 2: Convert to fraction form
    438,064.02/657,094.14 = 171,636.40/x
  3. Step 3: Cross multiply
    438,064.02x = 657,094.14 × 171,636.40
  4. Step 4: Simplify right side
    438,064.02x = 112,781,272,650.70
  5. Step 5: Solve for x
    x = 112,781,272,650.70/438,064.02
  6. Step 6: Final answer
    x = 257,453.86

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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.