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Finding the Fourth Proportional to 273,865.42, 410,459.01 and 155,176.93

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Solution

The fourth proportional to 273,865.42, 410,459.01 and 155,176.93 is: 232,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,865.42 : 410,459.01 = 155,176.93 : x
  2. Step 2: Convert to fraction form
    273,865.42/410,459.01 = 155,176.93/x
  3. Step 3: Cross multiply
    273,865.42x = 410,459.01 × 155,176.93
  4. Step 4: Simplify right side
    273,865.42x = 63,693,769,062.64
  5. Step 5: Solve for x
    x = 63,693,769,062.64/273,865.42
  6. Step 6: Final answer
    x = 232,573.24

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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.