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Finding the Fourth Proportional to 333,617.76, 500,216.40 and 283,034.46

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Solution

The fourth proportional to 333,617.76, 500,216.40 and 283,034.46 is: 424,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,617.76 : 500,216.40 = 283,034.46 : x
  2. Step 2: Convert to fraction form
    333,617.76/500,216.40 = 283,034.46/x
  3. Step 3: Cross multiply
    333,617.76x = 500,216.40 × 283,034.46
  4. Step 4: Simplify right side
    333,617.76x = 141,578,478,657.14
  5. Step 5: Solve for x
    x = 141,578,478,657.14/333,617.76
  6. Step 6: Final answer
    x = 424,373.33

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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.