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Finding the Fourth Proportional to 474,141.04, 710,350.24 and 274,038.80

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Solution

The fourth proportional to 474,141.04, 710,350.24 and 274,038.80 is: 410,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,141.04 : 710,350.24 = 274,038.80 : x
  2. Step 2: Convert to fraction form
    474,141.04/710,350.24 = 274,038.80/x
  3. Step 3: Cross multiply
    474,141.04x = 710,350.24 × 274,038.80
  4. Step 4: Simplify right side
    474,141.04x = 194,663,527,349.31
  5. Step 5: Solve for x
    x = 194,663,527,349.31/474,141.04
  6. Step 6: Final answer
    x = 410,560.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.