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Finding the Fourth Proportional to 457,210.84, 630,956.03 and 253,264.88

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Solution

The fourth proportional to 457,210.84, 630,956.03 and 253,264.88 is: 349,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,210.84 : 630,956.03 = 253,264.88 : x
  2. Step 2: Convert to fraction form
    457,210.84/630,956.03 = 253,264.88/x
  3. Step 3: Cross multiply
    457,210.84x = 630,956.03 × 253,264.88
  4. Step 4: Simplify right side
    457,210.84x = 159,799,003,223.23
  5. Step 5: Solve for x
    x = 159,799,003,223.23/457,210.84
  6. Step 6: Final answer
    x = 349,508.34

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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.