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Finding the Fourth Proportional to 648,095.77, 894,122.71 and 405,956.80

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Solution

The fourth proportional to 648,095.77, 894,122.71 and 405,956.80 is: 560,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,095.77 : 894,122.71 = 405,956.80 : x
  2. Step 2: Convert to fraction form
    648,095.77/894,122.71 = 405,956.80/x
  3. Step 3: Cross multiply
    648,095.77x = 894,122.71 × 405,956.80
  4. Step 4: Simplify right side
    648,095.77x = 362,975,194,158.93
  5. Step 5: Solve for x
    x = 362,975,194,158.93/648,095.77
  6. Step 6: Final answer
    x = 560,064.13

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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.