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Finding the Fourth Proportional to 876,460, 1,209,514.92 and 474,052

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Solution

The fourth proportional to 876,460, 1,209,514.92 and 474,052 is: 654,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,460 : 1,209,514.92 = 474,052 : x
  2. Step 2: Convert to fraction form
    876,460/1,209,514.92 = 474,052/x
  3. Step 3: Cross multiply
    876,460x = 1,209,514.92 × 474,052
  4. Step 4: Simplify right side
    876,460x = 573,372,966,855.84
  5. Step 5: Solve for x
    x = 573,372,966,855.84/876,460
  6. Step 6: Final answer
    x = 654,191.82

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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.