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Finding the Fourth Proportional to 602,049.76, 830,829.84 and 333,777.76

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Solution

The fourth proportional to 602,049.76, 830,829.84 and 333,777.76 is: 460,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,049.76 : 830,829.84 = 333,777.76 : x
  2. Step 2: Convert to fraction form
    602,049.76/830,829.84 = 333,777.76/x
  3. Step 3: Cross multiply
    602,049.76x = 830,829.84 × 333,777.76
  4. Step 4: Simplify right side
    602,049.76x = 277,312,522,936.36
  5. Step 5: Solve for x
    x = 277,312,522,936.36/602,049.76
  6. Step 6: Final answer
    x = 460,613.96

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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.