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Finding the Fourth Proportional to 583,236, 804,865.68 and 314,964

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Solution

The fourth proportional to 583,236, 804,865.68 and 314,964 is: 434,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,236 : 804,865.68 = 314,964 : x
  2. Step 2: Convert to fraction form
    583,236/804,865.68 = 314,964/x
  3. Step 3: Cross multiply
    583,236x = 804,865.68 × 314,964
  4. Step 4: Simplify right side
    583,236x = 253,503,714,035.52
  5. Step 5: Solve for x
    x = 253,503,714,035.52/583,236
  6. Step 6: Final answer
    x = 434,650.32

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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.