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Finding the Fourth Proportional to 295,702.56, 408,038.04 and 174,848.40

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Solution

The fourth proportional to 295,702.56, 408,038.04 and 174,848.40 is: 241,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,702.56 : 408,038.04 = 174,848.40 : x
  2. Step 2: Convert to fraction form
    295,702.56/408,038.04 = 174,848.40/x
  3. Step 3: Cross multiply
    295,702.56x = 408,038.04 × 174,848.40
  4. Step 4: Simplify right side
    295,702.56x = 71,344,798,433.14
  5. Step 5: Solve for x
    x = 71,344,798,433.14/295,702.56
  6. Step 6: Final answer
    x = 241,272.17

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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.