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Finding the Fourth Proportional to 415,186.83, 572,959.58 and 233,900.93

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Solution

The fourth proportional to 415,186.83, 572,959.58 and 233,900.93 is: 322,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,186.83 : 572,959.58 = 233,900.93 : x
  2. Step 2: Convert to fraction form
    415,186.83/572,959.58 = 233,900.93/x
  3. Step 3: Cross multiply
    415,186.83x = 572,959.58 × 233,900.93
  4. Step 4: Simplify right side
    415,186.83x = 134,015,778,877.30
  5. Step 5: Solve for x
    x = 134,015,778,877.30/415,186.83
  6. Step 6: Final answer
    x = 322,784.27

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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.