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Finding the Fourth Proportional to 575,151.84, 862,733.23 and 154,427.72

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Solution

The fourth proportional to 575,151.84, 862,733.23 and 154,427.72 is: 231,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,151.84 : 862,733.23 = 154,427.72 : x
  2. Step 2: Convert to fraction form
    575,151.84/862,733.23 = 154,427.72/x
  3. Step 3: Cross multiply
    575,151.84x = 862,733.23 × 154,427.72
  4. Step 4: Simplify right side
    575,151.84x = 133,229,920,977.40
  5. Step 5: Solve for x
    x = 133,229,920,977.40/575,151.84
  6. Step 6: Final answer
    x = 231,643.04

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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.