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Finding the Fourth Proportional to 402,830.10, 604,261.55 and 166,150.22

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Solution

The fourth proportional to 402,830.10, 604,261.55 and 166,150.22 is: 249,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,830.10 : 604,261.55 = 166,150.22 : x
  2. Step 2: Convert to fraction form
    402,830.10/604,261.55 = 166,150.22/x
  3. Step 3: Cross multiply
    402,830.10x = 604,261.55 × 166,150.22
  4. Step 4: Simplify right side
    402,830.10x = 100,398,185,617.98
  5. Step 5: Solve for x
    x = 100,398,185,617.98/402,830.10
  6. Step 6: Final answer
    x = 249,232.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.