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Finding the Fourth Proportional to 410,360.76, 566,307.40 and 257,405.44

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Solution

The fourth proportional to 410,360.76, 566,307.40 and 257,405.44 is: 355,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,360.76 : 566,307.40 = 257,405.44 : x
  2. Step 2: Convert to fraction form
    410,360.76/566,307.40 = 257,405.44/x
  3. Step 3: Cross multiply
    410,360.76x = 566,307.40 × 257,405.44
  4. Step 4: Simplify right side
    410,360.76x = 145,770,605,472.26
  5. Step 5: Solve for x
    x = 145,770,605,472.26/410,360.76
  6. Step 6: Final answer
    x = 355,225.50

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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.