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Finding the Fourth Proportional to 407,715.40, 611,573.10 and 257,140.45

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Solution

The fourth proportional to 407,715.40, 611,573.10 and 257,140.45 is: 385,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.40 : 611,573.10 = 257,140.45 : x
  2. Step 2: Convert to fraction form
    407,715.40/611,573.10 = 257,140.45/x
  3. Step 3: Cross multiply
    407,715.40x = 611,573.10 × 257,140.45
  4. Step 4: Simplify right side
    407,715.40x = 157,260,182,141.90
  5. Step 5: Solve for x
    x = 157,260,182,141.90/407,715.40
  6. Step 6: Final answer
    x = 385,710.68

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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.