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Finding the Fourth Proportional to 538,264.63, 807,403.12 and 230,475.16

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Solution

The fourth proportional to 538,264.63, 807,403.12 and 230,475.16 is: 345,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,264.63 : 807,403.12 = 230,475.16 : x
  2. Step 2: Convert to fraction form
    538,264.63/807,403.12 = 230,475.16/x
  3. Step 3: Cross multiply
    538,264.63x = 807,403.12 × 230,475.16
  4. Step 4: Simplify right side
    538,264.63x = 186,086,363,266.50
  5. Step 5: Solve for x
    x = 186,086,363,266.50/538,264.63
  6. Step 6: Final answer
    x = 345,715.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.