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Finding the Fourth Proportional to 284,467.59, 392,550.84 and 157,118.58

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Solution

The fourth proportional to 284,467.59, 392,550.84 and 157,118.58 is: 216,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,467.59 : 392,550.84 = 157,118.58 : x
  2. Step 2: Convert to fraction form
    284,467.59/392,550.84 = 157,118.58/x
  3. Step 3: Cross multiply
    284,467.59x = 392,550.84 × 157,118.58
  4. Step 4: Simplify right side
    284,467.59x = 61,677,030,558.61
  5. Step 5: Solve for x
    x = 61,677,030,558.61/284,467.59
  6. Step 6: Final answer
    x = 216,815.67

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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.