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Finding the Fourth Proportional to 553,857.19, 830,711.94 and 154,464.52

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Solution

The fourth proportional to 553,857.19, 830,711.94 and 154,464.52 is: 231,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,857.19 : 830,711.94 = 154,464.52 : x
  2. Step 2: Convert to fraction form
    553,857.19/830,711.94 = 154,464.52/x
  3. Step 3: Cross multiply
    553,857.19x = 830,711.94 × 154,464.52
  4. Step 4: Simplify right side
    553,857.19x = 128,315,521,070.37
  5. Step 5: Solve for x
    x = 128,315,521,070.37/553,857.19
  6. Step 6: Final answer
    x = 231,676.19

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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.