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Finding the Fourth Proportional to 583,984.50, 805,900.53 and 315,714.42

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Solution

The fourth proportional to 583,984.50, 805,900.53 and 315,714.42 is: 435,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,984.50 : 805,900.53 = 315,714.42 : x
  2. Step 2: Convert to fraction form
    583,984.50/805,900.53 = 315,714.42/x
  3. Step 3: Cross multiply
    583,984.50x = 805,900.53 × 315,714.42
  4. Step 4: Simplify right side
    583,984.50x = 254,434,418,406.64
  5. Step 5: Solve for x
    x = 254,434,418,406.64/583,984.50
  6. Step 6: Final answer
    x = 435,686.94

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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.