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Finding the Fourth Proportional to 313,409.84, 432,543.83 and 184,342.15

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Solution

The fourth proportional to 313,409.84, 432,543.83 and 184,342.15 is: 254,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,409.84 : 432,543.83 = 184,342.15 : x
  2. Step 2: Convert to fraction form
    313,409.84/432,543.83 = 184,342.15/x
  3. Step 3: Cross multiply
    313,409.84x = 432,543.83 × 184,342.15
  4. Step 4: Simplify right side
    313,409.84x = 79,736,059,210.40
  5. Step 5: Solve for x
    x = 79,736,059,210.40/313,409.84
  6. Step 6: Final answer
    x = 254,414.67

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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.