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Finding the Fourth Proportional to 382,420.48, 571,951.68 and 340,595.20

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Solution

The fourth proportional to 382,420.48, 571,951.68 and 340,595.20 is: 509,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,420.48 : 571,951.68 = 340,595.20 : x
  2. Step 2: Convert to fraction form
    382,420.48/571,951.68 = 340,595.20/x
  3. Step 3: Cross multiply
    382,420.48x = 571,951.68 × 340,595.20
  4. Step 4: Simplify right side
    382,420.48x = 194,803,996,839.94
  5. Step 5: Solve for x
    x = 194,803,996,839.94/382,420.48
  6. Step 6: Final answer
    x = 509,397.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.