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Finding the Fourth Proportional to 583,147.95, 805,014.33 and 411,206.01

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Solution

The fourth proportional to 583,147.95, 805,014.33 and 411,206.01 is: 567,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,147.95 : 805,014.33 = 411,206.01 : x
  2. Step 2: Convert to fraction form
    583,147.95/805,014.33 = 411,206.01/x
  3. Step 3: Cross multiply
    583,147.95x = 805,014.33 × 411,206.01
  4. Step 4: Simplify right side
    583,147.95x = 331,026,730,632.12
  5. Step 5: Solve for x
    x = 331,026,730,632.12/583,147.95
  6. Step 6: Final answer
    x = 567,654.80

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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.