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Finding the Fourth Proportional to 583,335, 805,002.84 and 315,063

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Solution

The fourth proportional to 583,335, 805,002.84 and 315,063 is: 434,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,335 : 805,002.84 = 315,063 : x
  2. Step 2: Convert to fraction form
    583,335/805,002.84 = 315,063/x
  3. Step 3: Cross multiply
    583,335x = 805,002.84 × 315,063
  4. Step 4: Simplify right side
    583,335x = 253,626,609,778.92
  5. Step 5: Solve for x
    x = 253,626,609,778.92/583,335
  6. Step 6: Final answer
    x = 434,787.23

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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.