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Finding the Fourth Proportional to 462,281.94, 638,022.29 and 281,050.65

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Solution

The fourth proportional to 462,281.94, 638,022.29 and 281,050.65 is: 387,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,281.94 : 638,022.29 = 281,050.65 : x
  2. Step 2: Convert to fraction form
    462,281.94/638,022.29 = 281,050.65/x
  3. Step 3: Cross multiply
    462,281.94x = 638,022.29 × 281,050.65
  4. Step 4: Simplify right side
    462,281.94x = 179,316,577,913.74
  5. Step 5: Solve for x
    x = 179,316,577,913.74/462,281.94
  6. Step 6: Final answer
    x = 387,894.40

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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.