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Finding the Fourth Proportional to 584,542, 806,667.96 and 316,270

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Solution

The fourth proportional to 584,542, 806,667.96 and 316,270 is: 436,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,542 : 806,667.96 = 316,270 : x
  2. Step 2: Convert to fraction form
    584,542/806,667.96 = 316,270/x
  3. Step 3: Cross multiply
    584,542x = 806,667.96 × 316,270
  4. Step 4: Simplify right side
    584,542x = 255,124,875,709.20
  5. Step 5: Solve for x
    x = 255,124,875,709.20/584,542
  6. Step 6: Final answer
    x = 436,452.60

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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.