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Finding the Fourth Proportional to 450,437.68, 675,852.54 and 282,343.24

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Solution

The fourth proportional to 450,437.68, 675,852.54 and 282,343.24 is: 423,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,437.68 : 675,852.54 = 282,343.24 : x
  2. Step 2: Convert to fraction form
    450,437.68/675,852.54 = 282,343.24/x
  3. Step 3: Cross multiply
    450,437.68x = 675,852.54 × 282,343.24
  4. Step 4: Simplify right side
    450,437.68x = 190,822,395,905.83
  5. Step 5: Solve for x
    x = 190,822,395,905.83/450,437.68
  6. Step 6: Final answer
    x = 423,637.73

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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.