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Finding the Fourth Proportional to 595,711.64, 822,086.94 and 323,779.60

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Solution

The fourth proportional to 595,711.64, 822,086.94 and 323,779.60 is: 446,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,711.64 : 822,086.94 = 323,779.60 : x
  2. Step 2: Convert to fraction form
    595,711.64/822,086.94 = 323,779.60/x
  3. Step 3: Cross multiply
    595,711.64x = 822,086.94 × 323,779.60
  4. Step 4: Simplify right side
    595,711.64x = 266,174,980,598.42
  5. Step 5: Solve for x
    x = 266,174,980,598.42/595,711.64
  6. Step 6: Final answer
    x = 446,818.50

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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.