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Finding the Fourth Proportional to 610,308.84, 842,225.88 and 338,376

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Solution

The fourth proportional to 610,308.84, 842,225.88 and 338,376 is: 466,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,308.84 : 842,225.88 = 338,376 : x
  2. Step 2: Convert to fraction form
    610,308.84/842,225.88 = 338,376/x
  3. Step 3: Cross multiply
    610,308.84x = 842,225.88 × 338,376
  4. Step 4: Simplify right side
    610,308.84x = 284,989,024,370.88
  5. Step 5: Solve for x
    x = 284,989,024,370.88/610,308.84
  6. Step 6: Final answer
    x = 466,958.70

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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.