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Finding the Fourth Proportional to 563,140.42, 777,189.51 and 321,459.32

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Solution

The fourth proportional to 563,140.42, 777,189.51 and 321,459.32 is: 443,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,140.42 : 777,189.51 = 321,459.32 : x
  2. Step 2: Convert to fraction form
    563,140.42/777,189.51 = 321,459.32/x
  3. Step 3: Cross multiply
    563,140.42x = 777,189.51 × 321,459.32
  4. Step 4: Simplify right side
    563,140.42x = 249,834,811,395.73
  5. Step 5: Solve for x
    x = 249,834,811,395.73/563,140.42
  6. Step 6: Final answer
    x = 443,645.67

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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.