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Finding the Fourth Proportional to 409,312.52, 564,701.46 and 248,051.24

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Solution

The fourth proportional to 409,312.52, 564,701.46 and 248,051.24 is: 342,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,312.52 : 564,701.46 = 248,051.24 : x
  2. Step 2: Convert to fraction form
    409,312.52/564,701.46 = 248,051.24/x
  3. Step 3: Cross multiply
    409,312.52x = 564,701.46 × 248,051.24
  4. Step 4: Simplify right side
    409,312.52x = 140,074,897,382.81
  5. Step 5: Solve for x
    x = 140,074,897,382.81/409,312.52
  6. Step 6: Final answer
    x = 342,219.92

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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.