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Finding the Fourth Proportional to 295,666.47, 408,020.13 and 168,342.12

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Solution

The fourth proportional to 295,666.47, 408,020.13 and 168,342.12 is: 232,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,666.47 : 408,020.13 = 168,342.12 : x
  2. Step 2: Convert to fraction form
    295,666.47/408,020.13 = 168,342.12/x
  3. Step 3: Cross multiply
    295,666.47x = 408,020.13 × 168,342.12
  4. Step 4: Simplify right side
    295,666.47x = 68,686,973,686.88
  5. Step 5: Solve for x
    x = 68,686,973,686.88/295,666.47
  6. Step 6: Final answer
    x = 232,312.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.