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Finding the Fourth Proportional to 333,816.32, 497,746.88 and 296,724.80

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Solution

The fourth proportional to 333,816.32, 497,746.88 and 296,724.80 is: 442,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,816.32 : 497,746.88 = 296,724.80 : x
  2. Step 2: Convert to fraction form
    333,816.32/497,746.88 = 296,724.80/x
  3. Step 3: Cross multiply
    333,816.32x = 497,746.88 × 296,724.80
  4. Step 4: Simplify right side
    333,816.32x = 147,693,843,418.62
  5. Step 5: Solve for x
    x = 147,693,843,418.62/333,816.32
  6. Step 6: Final answer
    x = 442,440.45

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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.