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Finding the Fourth Proportional to 333,781.76, 497,695.24 and 296,690.24

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Solution

The fourth proportional to 333,781.76, 497,695.24 and 296,690.24 is: 442,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,781.76 : 497,695.24 = 296,690.24 : x
  2. Step 2: Convert to fraction form
    333,781.76/497,695.24 = 296,690.24/x
  3. Step 3: Cross multiply
    333,781.76x = 497,695.24 × 296,690.24
  4. Step 4: Simplify right side
    333,781.76x = 147,661,320,202.46
  5. Step 5: Solve for x
    x = 147,661,320,202.46/333,781.76
  6. Step 6: Final answer
    x = 442,388.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.