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Finding the Fourth Proportional to 284,598.87, 392,730.96 and 157,266.25

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Solution

The fourth proportional to 284,598.87, 392,730.96 and 157,266.25 is: 217,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,598.87 : 392,730.96 = 157,266.25 : x
  2. Step 2: Convert to fraction form
    284,598.87/392,730.96 = 157,266.25/x
  3. Step 3: Cross multiply
    284,598.87x = 392,730.96 × 157,266.25
  4. Step 4: Simplify right side
    284,598.87x = 61,763,325,338.10
  5. Step 5: Solve for x
    x = 61,763,325,338.10/284,598.87
  6. Step 6: Final answer
    x = 217,018.87

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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.