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Finding the Fourth Proportional to 533,312.84, 736,017.12 and 303,940.28

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Solution

The fourth proportional to 533,312.84, 736,017.12 and 303,940.28 is: 419,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,312.84 : 736,017.12 = 303,940.28 : x
  2. Step 2: Convert to fraction form
    533,312.84/736,017.12 = 303,940.28/x
  3. Step 3: Cross multiply
    533,312.84x = 736,017.12 × 303,940.28
  4. Step 4: Simplify right side
    533,312.84x = 223,705,249,537.59
  5. Step 5: Solve for x
    x = 223,705,249,537.59/533,312.84
  6. Step 6: Final answer
    x = 419,463.46

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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.