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Finding the Fourth Proportional to 875,984, 1,208,857.92 and 473,576

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Solution

The fourth proportional to 875,984, 1,208,857.92 and 473,576 is: 653,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,984 : 1,208,857.92 = 473,576 : x
  2. Step 2: Convert to fraction form
    875,984/1,208,857.92 = 473,576/x
  3. Step 3: Cross multiply
    875,984x = 1,208,857.92 × 473,576
  4. Step 4: Simplify right side
    875,984x = 572,486,098,321.92
  5. Step 5: Solve for x
    x = 572,486,098,321.92/875,984
  6. Step 6: Final answer
    x = 653,534.88

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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.