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Finding the Fourth Proportional to 535,146.86, 802,642.45 and 155,965.80

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Solution

The fourth proportional to 535,146.86, 802,642.45 and 155,965.80 is: 233,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,146.86 : 802,642.45 = 155,965.80 : x
  2. Step 2: Convert to fraction form
    535,146.86/802,642.45 = 155,965.80/x
  3. Step 3: Cross multiply
    535,146.86x = 802,642.45 × 155,965.80
  4. Step 4: Simplify right side
    535,146.86x = 125,184,771,438.30
  5. Step 5: Solve for x
    x = 125,184,771,438.30/535,146.86
  6. Step 6: Final answer
    x = 233,926.02

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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.