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Finding the Fourth Proportional to 434,931.76, 600,206.92 and 253,768.24

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Solution

The fourth proportional to 434,931.76, 600,206.92 and 253,768.24 is: 350,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,931.76 : 600,206.92 = 253,768.24 : x
  2. Step 2: Convert to fraction form
    434,931.76/600,206.92 = 253,768.24/x
  3. Step 3: Cross multiply
    434,931.76x = 600,206.92 × 253,768.24
  4. Step 4: Simplify right side
    434,931.76x = 152,313,453,724.22
  5. Step 5: Solve for x
    x = 152,313,453,724.22/434,931.76
  6. Step 6: Final answer
    x = 350,200.81

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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.