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Finding the Fourth Proportional to 434,455.84, 598,920.78 and 305,000.11

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Solution

The fourth proportional to 434,455.84, 598,920.78 and 305,000.11 is: 420,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,455.84 : 598,920.78 = 305,000.11 : x
  2. Step 2: Convert to fraction form
    434,455.84/598,920.78 = 305,000.11/x
  3. Step 3: Cross multiply
    434,455.84x = 598,920.78 × 305,000.11
  4. Step 4: Simplify right side
    434,455.84x = 182,670,903,781.29
  5. Step 5: Solve for x
    x = 182,670,903,781.29/434,455.84
  6. Step 6: Final answer
    x = 420,459.08

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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.