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Finding the Fourth Proportional to 553,493.43, 830,262.01 and 154,169.10

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Solution

The fourth proportional to 553,493.43, 830,262.01 and 154,169.10 is: 231,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,493.43 : 830,262.01 = 154,169.10 : x
  2. Step 2: Convert to fraction form
    553,493.43/830,262.01 = 154,169.10/x
  3. Step 3: Cross multiply
    553,493.43x = 830,262.01 × 154,169.10
  4. Step 4: Simplify right side
    553,493.43x = 128,000,746,845.89
  5. Step 5: Solve for x
    x = 128,000,746,845.89/553,493.43
  6. Step 6: Final answer
    x = 231,259.74

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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.