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Finding the Fourth Proportional to 596,308.60, 822,927.84 and 341,709

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Solution

The fourth proportional to 596,308.60, 822,927.84 and 341,709 is: 471,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,308.60 : 822,927.84 = 341,709 : x
  2. Step 2: Convert to fraction form
    596,308.60/822,927.84 = 341,709/x
  3. Step 3: Cross multiply
    596,308.60x = 822,927.84 × 341,709
  4. Step 4: Simplify right side
    596,308.60x = 281,201,849,278.56
  5. Step 5: Solve for x
    x = 281,201,849,278.56/596,308.60
  6. Step 6: Final answer
    x = 471,571.01

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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.