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Finding the Fourth Proportional to 288,952.52, 433,448.22 and 111,461

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Solution

The fourth proportional to 288,952.52, 433,448.22 and 111,461 is: 167,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,952.52 : 433,448.22 = 111,461 : x
  2. Step 2: Convert to fraction form
    288,952.52/433,448.22 = 111,461/x
  3. Step 3: Cross multiply
    288,952.52x = 433,448.22 × 111,461
  4. Step 4: Simplify right side
    288,952.52x = 48,312,572,049.42
  5. Step 5: Solve for x
    x = 48,312,572,049.42/288,952.52
  6. Step 6: Final answer
    x = 167,199.00

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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.