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Finding the Fourth Proportional to 702,428.34, 969,352.80 and 380,140.76

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Solution

The fourth proportional to 702,428.34, 969,352.80 and 380,140.76 is: 524,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,428.34 : 969,352.80 = 380,140.76 : x
  2. Step 2: Convert to fraction form
    702,428.34/969,352.80 = 380,140.76/x
  3. Step 3: Cross multiply
    702,428.34x = 969,352.80 × 380,140.76
  4. Step 4: Simplify right side
    702,428.34x = 368,490,510,100.13
  5. Step 5: Solve for x
    x = 368,490,510,100.13/702,428.34
  6. Step 6: Final answer
    x = 524,595.16

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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.