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Finding the Fourth Proportional to 583,657.29, 805,309.93 and 354,209.47

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Solution

The fourth proportional to 583,657.29, 805,309.93 and 354,209.47 is: 488,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,657.29 : 805,309.93 = 354,209.47 : x
  2. Step 2: Convert to fraction form
    583,657.29/805,309.93 = 354,209.47/x
  3. Step 3: Cross multiply
    583,657.29x = 805,309.93 × 354,209.47
  4. Step 4: Simplify right side
    583,657.29x = 285,248,403,491.04
  5. Step 5: Solve for x
    x = 285,248,403,491.04/583,657.29
  6. Step 6: Final answer
    x = 488,725.85

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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.