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Finding the Fourth Proportional to 601,768.98, 830,532.66 and 384,071.64

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Solution

The fourth proportional to 601,768.98, 830,532.66 and 384,071.64 is: 530,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,768.98 : 830,532.66 = 384,071.64 : x
  2. Step 2: Convert to fraction form
    601,768.98/830,532.66 = 384,071.64/x
  3. Step 3: Cross multiply
    601,768.98x = 830,532.66 × 384,071.64
  4. Step 4: Simplify right side
    601,768.98x = 318,984,040,799.76
  5. Step 5: Solve for x
    x = 318,984,040,799.76/601,768.98
  6. Step 6: Final answer
    x = 530,077.24

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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.