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Finding the Fourth Proportional to 470,927.84, 706,216.80 and 155,300

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Solution

The fourth proportional to 470,927.84, 706,216.80 and 155,300 is: 232,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,927.84 : 706,216.80 = 155,300 : x
  2. Step 2: Convert to fraction form
    470,927.84/706,216.80 = 155,300/x
  3. Step 3: Cross multiply
    470,927.84x = 706,216.80 × 155,300
  4. Step 4: Simplify right side
    470,927.84x = 109,675,469,040
  5. Step 5: Solve for x
    x = 109,675,469,040/470,927.84
  6. Step 6: Final answer
    x = 232,892.30

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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.