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Finding the Fourth Proportional to 402,677.10, 604,019.29 and 122,194.35

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Solution

The fourth proportional to 402,677.10, 604,019.29 and 122,194.35 is: 183,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,677.10 : 604,019.29 = 122,194.35 : x
  2. Step 2: Convert to fraction form
    402,677.10/604,019.29 = 122,194.35/x
  3. Step 3: Cross multiply
    402,677.10x = 604,019.29 × 122,194.35
  4. Step 4: Simplify right side
    402,677.10x = 73,807,742,407.99
  5. Step 5: Solve for x
    x = 73,807,742,407.99/402,677.10
  6. Step 6: Final answer
    x = 183,292.63

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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.