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Finding the Fourth Proportional to 284,656.29, 392,846.06 and 157,329.15

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Solution

The fourth proportional to 284,656.29, 392,846.06 and 157,329.15 is: 217,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,656.29 : 392,846.06 = 157,329.15 : x
  2. Step 2: Convert to fraction form
    284,656.29/392,846.06 = 157,329.15/x
  3. Step 3: Cross multiply
    284,656.29x = 392,846.06 × 157,329.15
  4. Step 4: Simplify right side
    284,656.29x = 61,806,135,914.00
  5. Step 5: Solve for x
    x = 61,806,135,914.00/284,656.29
  6. Step 6: Final answer
    x = 217,125.49

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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.