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Finding the Fourth Proportional to 460,580.94, 690,574.68 and 194,270.22

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Solution

The fourth proportional to 460,580.94, 690,574.68 and 194,270.22 is: 291,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,580.94 : 690,574.68 = 194,270.22 : x
  2. Step 2: Convert to fraction form
    460,580.94/690,574.68 = 194,270.22/x
  3. Step 3: Cross multiply
    460,580.94x = 690,574.68 × 194,270.22
  4. Step 4: Simplify right side
    460,580.94x = 134,158,095,010.03
  5. Step 5: Solve for x
    x = 134,158,095,010.03/460,580.94
  6. Step 6: Final answer
    x = 291,280.17

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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.