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Finding the Fourth Proportional to 510,956.37, 705,120 and 296,220.93

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Solution

The fourth proportional to 510,956.37, 705,120 and 296,220.93 is: 408,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,956.37 : 705,120 = 296,220.93 : x
  2. Step 2: Convert to fraction form
    510,956.37/705,120 = 296,220.93/x
  3. Step 3: Cross multiply
    510,956.37x = 705,120 × 296,220.93
  4. Step 4: Simplify right side
    510,956.37x = 208,871,302,161.60
  5. Step 5: Solve for x
    x = 208,871,302,161.60/510,956.37
  6. Step 6: Final answer
    x = 408,785.00

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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.