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Finding the Fourth Proportional to 282,592.68, 389,977.86 and 155,264.04

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Solution

The fourth proportional to 282,592.68, 389,977.86 and 155,264.04 is: 214,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,592.68 : 389,977.86 = 155,264.04 : x
  2. Step 2: Convert to fraction form
    282,592.68/389,977.86 = 155,264.04/x
  3. Step 3: Cross multiply
    282,592.68x = 389,977.86 × 155,264.04
  4. Step 4: Simplify right side
    282,592.68x = 60,549,538,054.15
  5. Step 5: Solve for x
    x = 60,549,538,054.15/282,592.68
  6. Step 6: Final answer
    x = 214,264.35

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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.