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Finding the Fourth Proportional to 474,903.59, 711,224.61 and 274,802.27

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Solution

The fourth proportional to 474,903.59, 711,224.61 and 274,802.27 is: 411,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,903.59 : 711,224.61 = 274,802.27 : x
  2. Step 2: Convert to fraction form
    474,903.59/711,224.61 = 274,802.27/x
  3. Step 3: Cross multiply
    474,903.59x = 711,224.61 × 274,802.27
  4. Step 4: Simplify right side
    474,903.59x = 195,446,137,307.87
  5. Step 5: Solve for x
    x = 195,446,137,307.87/474,903.59
  6. Step 6: Final answer
    x = 411,549.08

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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.