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Finding the Fourth Proportional to 583,147.94, 805,014.32 and 411,206.00

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Solution

The fourth proportional to 583,147.94, 805,014.32 and 411,206.00 is: 567,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,147.94 : 805,014.32 = 411,206.00 : x
  2. Step 2: Convert to fraction form
    583,147.94/805,014.32 = 411,206.00/x
  3. Step 3: Cross multiply
    583,147.94x = 805,014.32 × 411,206.00
  4. Step 4: Simplify right side
    583,147.94x = 331,026,712,388.82
  5. Step 5: Solve for x
    x = 331,026,712,388.82/583,147.94
  6. Step 6: Final answer
    x = 567,654.78

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1.5x scale

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.