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Finding the Fourth Proportional to 536,813.84, 740,802.84 and 295,112

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Solution

The fourth proportional to 536,813.84, 740,802.84 and 295,112 is: 407,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,813.84 : 740,802.84 = 295,112 : x
  2. Step 2: Convert to fraction form
    536,813.84/740,802.84 = 295,112/x
  3. Step 3: Cross multiply
    536,813.84x = 740,802.84 × 295,112
  4. Step 4: Simplify right side
    536,813.84x = 218,619,807,718.08
  5. Step 5: Solve for x
    x = 218,619,807,718.08/536,813.84
  6. Step 6: Final answer
    x = 407,254.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.