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Finding the Fourth Proportional to 280,002.42, 386,411.31 and 152,685

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Solution

The fourth proportional to 280,002.42, 386,411.31 and 152,685 is: 210,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,002.42 : 386,411.31 = 152,685 : x
  2. Step 2: Convert to fraction form
    280,002.42/386,411.31 = 152,685/x
  3. Step 3: Cross multiply
    280,002.42x = 386,411.31 × 152,685
  4. Step 4: Simplify right side
    280,002.42x = 58,999,210,867.35
  5. Step 5: Solve for x
    x = 58,999,210,867.35/280,002.42
  6. Step 6: Final answer
    x = 210,709.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.