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Finding the Fourth Proportional to 583,154.46, 805,023.30 and 411,212.52

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Solution

The fourth proportional to 583,154.46, 805,023.30 and 411,212.52 is: 567,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,154.46 : 805,023.30 = 411,212.52 : x
  2. Step 2: Convert to fraction form
    583,154.46/805,023.30 = 411,212.52/x
  3. Step 3: Cross multiply
    583,154.46x = 805,023.30 × 411,212.52
  4. Step 4: Simplify right side
    583,154.46x = 331,035,659,851.72
  5. Step 5: Solve for x
    x = 331,035,659,851.72/583,154.46
  6. Step 6: Final answer
    x = 567,663.77

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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.