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Finding the Fourth Proportional to 581,153.94, 871,729.59 and 154,689.84

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Solution

The fourth proportional to 581,153.94, 871,729.59 and 154,689.84 is: 232,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,153.94 : 871,729.59 = 154,689.84 : x
  2. Step 2: Convert to fraction form
    581,153.94/871,729.59 = 154,689.84/x
  3. Step 3: Cross multiply
    581,153.94x = 871,729.59 × 154,689.84
  4. Step 4: Simplify right side
    581,153.94x = 134,847,710,800.37
  5. Step 5: Solve for x
    x = 134,847,710,800.37/581,153.94
  6. Step 6: Final answer
    x = 232,034.41

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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.