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Finding the Fourth Proportional to 596,137.79, 822,652.56 and 338,038.31

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Solution

The fourth proportional to 596,137.79, 822,652.56 and 338,038.31 is: 466,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,137.79 : 822,652.56 = 338,038.31 : x
  2. Step 2: Convert to fraction form
    596,137.79/822,652.56 = 338,038.31/x
  3. Step 3: Cross multiply
    596,137.79x = 822,652.56 × 338,038.31
  4. Step 4: Simplify right side
    596,137.79x = 278,088,076,986.31
  5. Step 5: Solve for x
    x = 278,088,076,986.31/596,137.79
  6. Step 6: Final answer
    x = 466,482.88

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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.