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Finding the Fourth Proportional to 457,220.32, 630,969.12 and 253,274.38

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Solution

The fourth proportional to 457,220.32, 630,969.12 and 253,274.38 is: 349,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,220.32 : 630,969.12 = 253,274.38 : x
  2. Step 2: Convert to fraction form
    457,220.32/630,969.12 = 253,274.38/x
  3. Step 3: Cross multiply
    457,220.32x = 630,969.12 × 253,274.38
  4. Step 4: Simplify right side
    457,220.32x = 159,808,312,667.15
  5. Step 5: Solve for x
    x = 159,808,312,667.15/457,220.32
  6. Step 6: Final answer
    x = 349,521.46

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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.