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Finding the Fourth Proportional to 583,902.55, 805,796.01 and 342,253.63

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Solution

The fourth proportional to 583,902.55, 805,796.01 and 342,253.63 is: 472,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,902.55 : 805,796.01 = 342,253.63 : x
  2. Step 2: Convert to fraction form
    583,902.55/805,796.01 = 342,253.63/x
  3. Step 3: Cross multiply
    583,902.55x = 805,796.01 × 342,253.63
  4. Step 4: Simplify right side
    583,902.55x = 275,786,609,462.02
  5. Step 5: Solve for x
    x = 275,786,609,462.02/583,902.55
  6. Step 6: Final answer
    x = 472,316.16

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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.