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Finding the Fourth Proportional to 457,205.98, 630,922.33 and 253,243.14

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Solution

The fourth proportional to 457,205.98, 630,922.33 and 253,243.14 is: 349,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,205.98 : 630,922.33 = 253,243.14 : x
  2. Step 2: Convert to fraction form
    457,205.98/630,922.33 = 253,243.14/x
  3. Step 3: Cross multiply
    457,205.98x = 630,922.33 × 253,243.14
  4. Step 4: Simplify right side
    457,205.98x = 159,776,751,945.32
  5. Step 5: Solve for x
    x = 159,776,751,945.32/457,205.98
  6. Step 6: Final answer
    x = 349,463.39

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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.