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Finding the Fourth Proportional to 601,297.55, 829,559.64 and 343,188.82

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Solution

The fourth proportional to 601,297.55, 829,559.64 and 343,188.82 is: 473,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,297.55 : 829,559.64 = 343,188.82 : x
  2. Step 2: Convert to fraction form
    601,297.55/829,559.64 = 343,188.82/x
  3. Step 3: Cross multiply
    601,297.55x = 829,559.64 × 343,188.82
  4. Step 4: Simplify right side
    601,297.55x = 284,695,593,184.28
  5. Step 5: Solve for x
    x = 284,695,593,184.28/601,297.55
  6. Step 6: Final answer
    x = 473,468.74

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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.