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Finding the Fourth Proportional to 410,093.31, 566,284.77 and 257,396.16

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Solution

The fourth proportional to 410,093.31, 566,284.77 and 257,396.16 is: 355,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,093.31 : 566,284.77 = 257,396.16 : x
  2. Step 2: Convert to fraction form
    410,093.31/566,284.77 = 257,396.16/x
  3. Step 3: Cross multiply
    410,093.31x = 566,284.77 × 257,396.16
  4. Step 4: Simplify right side
    410,093.31x = 145,759,525,264.48
  5. Step 5: Solve for x
    x = 145,759,525,264.48/410,093.31
  6. Step 6: Final answer
    x = 355,430.15

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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.