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Finding the Fourth Proportional to 288,768, 433,326.96 and 122,556

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Solution

The fourth proportional to 288,768, 433,326.96 and 122,556 is: 183,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768 : 433,326.96 = 122,556 : x
  2. Step 2: Convert to fraction form
    288,768/433,326.96 = 122,556/x
  3. Step 3: Cross multiply
    288,768x = 433,326.96 × 122,556
  4. Step 4: Simplify right side
    288,768x = 53,106,818,909.76
  5. Step 5: Solve for x
    x = 53,106,818,909.76/288,768
  6. Step 6: Final answer
    x = 183,908.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.