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Finding the Fourth Proportional to 497,548.56, 686,074.46 and 336,123.36

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Solution

The fourth proportional to 497,548.56, 686,074.46 and 336,123.36 is: 463,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,548.56 : 686,074.46 = 336,123.36 : x
  2. Step 2: Convert to fraction form
    497,548.56/686,074.46 = 336,123.36/x
  3. Step 3: Cross multiply
    497,548.56x = 686,074.46 × 336,123.36
  4. Step 4: Simplify right side
    497,548.56x = 230,605,651,024.77
  5. Step 5: Solve for x
    x = 230,605,651,024.77/497,548.56
  6. Step 6: Final answer
    x = 463,483.71

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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.