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Finding the Fourth Proportional to 333,780.76, 497,693.75 and 296,689.24

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Solution

The fourth proportional to 333,780.76, 497,693.75 and 296,689.24 is: 442,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,780.76 : 497,693.75 = 296,689.24 : x
  2. Step 2: Convert to fraction form
    333,780.76/497,693.75 = 296,689.24/x
  3. Step 3: Cross multiply
    333,780.76x = 497,693.75 × 296,689.24
  4. Step 4: Simplify right side
    333,780.76x = 147,660,380,440.25
  5. Step 5: Solve for x
    x = 147,660,380,440.25/333,780.76
  6. Step 6: Final answer
    x = 442,387.33

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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.