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Finding the Fourth Proportional to 409,065.84, 613,624.68 and 128,594.16

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Solution

The fourth proportional to 409,065.84, 613,624.68 and 128,594.16 is: 192,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,065.84 : 613,624.68 = 128,594.16 : x
  2. Step 2: Convert to fraction form
    409,065.84/613,624.68 = 128,594.16/x
  3. Step 3: Cross multiply
    409,065.84x = 613,624.68 × 128,594.16
  4. Step 4: Simplify right side
    409,065.84x = 78,908,550,279.87
  5. Step 5: Solve for x
    x = 78,908,550,279.87/409,065.84
  6. Step 6: Final answer
    x = 192,899.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.