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Finding the Fourth Proportional to 409,803.49, 565,501.26 and 256,836.21

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Solution

The fourth proportional to 409,803.49, 565,501.26 and 256,836.21 is: 354,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,803.49 : 565,501.26 = 256,836.21 : x
  2. Step 2: Convert to fraction form
    409,803.49/565,501.26 = 256,836.21/x
  3. Step 3: Cross multiply
    409,803.49x = 565,501.26 × 256,836.21
  4. Step 4: Simplify right side
    409,803.49x = 145,241,200,368.63
  5. Step 5: Solve for x
    x = 145,241,200,368.63/409,803.49
  6. Step 6: Final answer
    x = 354,416.70

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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.