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Finding the Fourth Proportional to 876,393, 1,209,422.34 and 473,985

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Solution

The fourth proportional to 876,393, 1,209,422.34 and 473,985 is: 654,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,393 : 1,209,422.34 = 473,985 : x
  2. Step 2: Convert to fraction form
    876,393/1,209,422.34 = 473,985/x
  3. Step 3: Cross multiply
    876,393x = 1,209,422.34 × 473,985
  4. Step 4: Simplify right side
    876,393x = 573,248,047,824.90
  5. Step 5: Solve for x
    x = 573,248,047,824.90/876,393
  6. Step 6: Final answer
    x = 654,099.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.