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Finding the Fourth Proportional to 788,229, 1,087,760.34 and 430,533

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Solution

The fourth proportional to 788,229, 1,087,760.34 and 430,533 is: 594,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,229 : 1,087,760.34 = 430,533 : x
  2. Step 2: Convert to fraction form
    788,229/1,087,760.34 = 430,533/x
  3. Step 3: Cross multiply
    788,229x = 1,087,760.34 × 430,533
  4. Step 4: Simplify right side
    788,229x = 468,316,722,461.22
  5. Step 5: Solve for x
    x = 468,316,722,461.22/788,229
  6. Step 6: Final answer
    x = 594,137.90

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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.