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Finding the Fourth Proportional to 282,860.94, 424,476 and 105,509.82

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Solution

The fourth proportional to 282,860.94, 424,476 and 105,509.82 is: 158,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,860.94 : 424,476 = 105,509.82 : x
  2. Step 2: Convert to fraction form
    282,860.94/424,476 = 105,509.82/x
  3. Step 3: Cross multiply
    282,860.94x = 424,476 × 105,509.82
  4. Step 4: Simplify right side
    282,860.94x = 44,786,386,354.32
  5. Step 5: Solve for x
    x = 44,786,386,354.32/282,860.94
  6. Step 6: Final answer
    x = 158,333.58

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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.