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Finding the Fourth Proportional to 583,509.22, 805,511.75 and 341,758.42

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Solution

The fourth proportional to 583,509.22, 805,511.75 and 341,758.42 is: 471,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,509.22 : 805,511.75 = 341,758.42 : x
  2. Step 2: Convert to fraction form
    583,509.22/805,511.75 = 341,758.42/x
  3. Step 3: Cross multiply
    583,509.22x = 805,511.75 × 341,758.42
  4. Step 4: Simplify right side
    583,509.22x = 275,290,422,971.44
  5. Step 5: Solve for x
    x = 275,290,422,971.44/583,509.22
  6. Step 6: Final answer
    x = 471,784.19

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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.