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Finding the Fourth Proportional to 583,298, 804,951.24 and 315,026

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Solution

The fourth proportional to 583,298, 804,951.24 and 315,026 is: 434,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,298 : 804,951.24 = 315,026 : x
  2. Step 2: Convert to fraction form
    583,298/804,951.24 = 315,026/x
  3. Step 3: Cross multiply
    583,298x = 804,951.24 × 315,026
  4. Step 4: Simplify right side
    583,298x = 253,580,569,332.24
  5. Step 5: Solve for x
    x = 253,580,569,332.24/583,298
  6. Step 6: Final answer
    x = 434,735.88

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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.