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Finding the Fourth Proportional to 402,766.60, 604,368.60 and 166,133.20

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Solution

The fourth proportional to 402,766.60, 604,368.60 and 166,133.20 is: 249,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,766.60 : 604,368.60 = 166,133.20 : x
  2. Step 2: Convert to fraction form
    402,766.60/604,368.60 = 166,133.20/x
  3. Step 3: Cross multiply
    402,766.60x = 604,368.60 × 166,133.20
  4. Step 4: Simplify right side
    402,766.60x = 100,405,689,497.52
  5. Step 5: Solve for x
    x = 100,405,689,497.52/402,766.60
  6. Step 6: Final answer
    x = 249,290.01

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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.