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Finding the Fourth Proportional to 284,073.71, 391,881.27 and 185,898.83

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Solution

The fourth proportional to 284,073.71, 391,881.27 and 185,898.83 is: 256,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,073.71 : 391,881.27 = 185,898.83 : x
  2. Step 2: Convert to fraction form
    284,073.71/391,881.27 = 185,898.83/x
  3. Step 3: Cross multiply
    284,073.71x = 391,881.27 × 185,898.83
  4. Step 4: Simplify right side
    284,073.71x = 72,850,267,632.51
  5. Step 5: Solve for x
    x = 72,850,267,632.51/284,073.71
  6. Step 6: Final answer
    x = 256,448.47

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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.