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Finding the Fourth Proportional to 463,257.80, 695,117.10 and 182,784.20

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Solution

The fourth proportional to 463,257.80, 695,117.10 and 182,784.20 is: 274,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,257.80 : 695,117.10 = 182,784.20 : x
  2. Step 2: Convert to fraction form
    463,257.80/695,117.10 = 182,784.20/x
  3. Step 3: Cross multiply
    463,257.80x = 695,117.10 × 182,784.20
  4. Step 4: Simplify right side
    463,257.80x = 127,056,423,029.82
  5. Step 5: Solve for x
    x = 127,056,423,029.82/463,257.80
  6. Step 6: Final answer
    x = 274,267.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.