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Finding the Fourth Proportional to 828,014.72, 1,142,666.62 and 460,497.01

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Solution

The fourth proportional to 828,014.72, 1,142,666.62 and 460,497.01 is: 635,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,014.72 : 1,142,666.62 = 460,497.01 : x
  2. Step 2: Convert to fraction form
    828,014.72/1,142,666.62 = 460,497.01/x
  3. Step 3: Cross multiply
    828,014.72x = 1,142,666.62 × 460,497.01
  4. Step 4: Simplify right side
    828,014.72x = 526,194,561,936.81
  5. Step 5: Solve for x
    x = 526,194,561,936.81/828,014.72
  6. Step 6: Final answer
    x = 635,489.38

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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.