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Finding the Fourth Proportional to 438,465.60, 657,649.80 and 122,954.40

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Solution

The fourth proportional to 438,465.60, 657,649.80 and 122,954.40 is: 184,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,465.60 : 657,649.80 = 122,954.40 : x
  2. Step 2: Convert to fraction form
    438,465.60/657,649.80 = 122,954.40/x
  3. Step 3: Cross multiply
    438,465.60x = 657,649.80 × 122,954.40
  4. Step 4: Simplify right side
    438,465.60x = 80,860,936,569.12
  5. Step 5: Solve for x
    x = 80,860,936,569.12/438,465.60
  6. Step 6: Final answer
    x = 184,417.97

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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.