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Finding the Fourth Proportional to 292,559.52, 438,480.20 and 166,305.52

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Solution

The fourth proportional to 292,559.52, 438,480.20 and 166,305.52 is: 249,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,559.52 : 438,480.20 = 166,305.52 : x
  2. Step 2: Convert to fraction form
    292,559.52/438,480.20 = 166,305.52/x
  3. Step 3: Cross multiply
    292,559.52x = 438,480.20 × 166,305.52
  4. Step 4: Simplify right side
    292,559.52x = 72,921,677,670.70
  5. Step 5: Solve for x
    x = 72,921,677,670.70/292,559.52
  6. Step 6: Final answer
    x = 249,254.16

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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.