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Finding the Fourth Proportional to 583,407, 875,110.50 and 189,423

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Solution

The fourth proportional to 583,407, 875,110.50 and 189,423 is: 284,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,407 : 875,110.50 = 189,423 : x
  2. Step 2: Convert to fraction form
    583,407/875,110.50 = 189,423/x
  3. Step 3: Cross multiply
    583,407x = 875,110.50 × 189,423
  4. Step 4: Simplify right side
    583,407x = 165,766,056,241.50
  5. Step 5: Solve for x
    x = 165,766,056,241.50/583,407
  6. Step 6: Final answer
    x = 284,134.50

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1.5x scale

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.