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Finding the Fourth Proportional to 553,612.84, 764,000.94 and 338,749

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Solution

The fourth proportional to 553,612.84, 764,000.94 and 338,749 is: 467,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,612.84 : 764,000.94 = 338,749 : x
  2. Step 2: Convert to fraction form
    553,612.84/764,000.94 = 338,749/x
  3. Step 3: Cross multiply
    553,612.84x = 764,000.94 × 338,749
  4. Step 4: Simplify right side
    553,612.84x = 258,804,554,424.06
  5. Step 5: Solve for x
    x = 258,804,554,424.06/553,612.84
  6. Step 6: Final answer
    x = 467,482.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.