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Finding the Fourth Proportional to 284,595.66, 392,824.08 and 187,870.32

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Solution

The fourth proportional to 284,595.66, 392,824.08 and 187,870.32 is: 259,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,595.66 : 392,824.08 = 187,870.32 : x
  2. Step 2: Convert to fraction form
    284,595.66/392,824.08 = 187,870.32/x
  3. Step 3: Cross multiply
    284,595.66x = 392,824.08 × 187,870.32
  4. Step 4: Simplify right side
    284,595.66x = 73,799,985,613.31
  5. Step 5: Solve for x
    x = 73,799,985,613.31/284,595.66
  6. Step 6: Final answer
    x = 259,315.22

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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.