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Finding the Fourth Proportional to 513,899.94, 770,537.76 and 257,434.24

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Solution

The fourth proportional to 513,899.94, 770,537.76 and 257,434.24 is: 385,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,899.94 : 770,537.76 = 257,434.24 : x
  2. Step 2: Convert to fraction form
    513,899.94/770,537.76 = 257,434.24/x
  3. Step 3: Cross multiply
    513,899.94x = 770,537.76 × 257,434.24
  4. Step 4: Simplify right side
    513,899.94x = 198,362,804,802.66
  5. Step 5: Solve for x
    x = 198,362,804,802.66/513,899.94
  6. Step 6: Final answer
    x = 385,995.00

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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.