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Finding the Fourth Proportional to 409,628.86, 565,056.30 and 256,401.03

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Solution

The fourth proportional to 409,628.86, 565,056.30 and 256,401.03 is: 353,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,628.86 : 565,056.30 = 256,401.03 : x
  2. Step 2: Convert to fraction form
    409,628.86/565,056.30 = 256,401.03/x
  3. Step 3: Cross multiply
    409,628.86x = 565,056.30 × 256,401.03
  4. Step 4: Simplify right side
    409,628.86x = 144,881,017,327.99
  5. Step 5: Solve for x
    x = 144,881,017,327.99/409,628.86
  6. Step 6: Final answer
    x = 353,688.50

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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.