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Finding the Fourth Proportional to 596,394.68, 894,768.35 and 343,856.34

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Solution

The fourth proportional to 596,394.68, 894,768.35 and 343,856.34 is: 515,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,394.68 : 894,768.35 = 343,856.34 : x
  2. Step 2: Convert to fraction form
    596,394.68/894,768.35 = 343,856.34/x
  3. Step 3: Cross multiply
    596,394.68x = 894,768.35 × 343,856.34
  4. Step 4: Simplify right side
    596,394.68x = 307,671,768,259.56
  5. Step 5: Solve for x
    x = 307,671,768,259.56/596,394.68
  6. Step 6: Final answer
    x = 515,886.18

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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.