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Finding the Fourth Proportional to 280,295.17, 386,801.94 and 152,971.68

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Solution

The fourth proportional to 280,295.17, 386,801.94 and 152,971.68 is: 211,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,295.17 : 386,801.94 = 152,971.68 : x
  2. Step 2: Convert to fraction form
    280,295.17/386,801.94 = 152,971.68/x
  3. Step 3: Cross multiply
    280,295.17x = 386,801.94 × 152,971.68
  4. Step 4: Simplify right side
    280,295.17x = 59,169,742,589.06
  5. Step 5: Solve for x
    x = 59,169,742,589.06/280,295.17
  6. Step 6: Final answer
    x = 211,097.97

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1.5x scale

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.