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Finding the Fourth Proportional to 415,632.16, 573,560.84 and 234,342.48

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Solution

The fourth proportional to 415,632.16, 573,560.84 and 234,342.48 is: 323,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,632.16 : 573,560.84 = 234,342.48 : x
  2. Step 2: Convert to fraction form
    415,632.16/573,560.84 = 234,342.48/x
  3. Step 3: Cross multiply
    415,632.16x = 573,560.84 × 234,342.48
  4. Step 4: Simplify right side
    415,632.16x = 134,409,669,676.48
  5. Step 5: Solve for x
    x = 134,409,669,676.48/415,632.16
  6. Step 6: Final answer
    x = 323,386.12

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1.5x scale

Why These Related Problems?

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