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Finding the Fourth Proportional to 295,293.60, 442,648.80 and 145,411.20

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Solution

The fourth proportional to 295,293.60, 442,648.80 and 145,411.20 is: 217,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,293.60 : 442,648.80 = 145,411.20 : x
  2. Step 2: Convert to fraction form
    295,293.60/442,648.80 = 145,411.20/x
  3. Step 3: Cross multiply
    295,293.60x = 442,648.80 × 145,411.20
  4. Step 4: Simplify right side
    295,293.60x = 64,366,093,186.56
  5. Step 5: Solve for x
    x = 64,366,093,186.56/295,293.60
  6. Step 6: Final answer
    x = 217,973.21

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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.