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Finding the Fourth Proportional to 550,140.30, 824,226.30 and 471,408.30

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Solution

The fourth proportional to 550,140.30, 824,226.30 and 471,408.30 is: 706,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,140.30 : 824,226.30 = 471,408.30 : x
  2. Step 2: Convert to fraction form
    550,140.30/824,226.30 = 471,408.30/x
  3. Step 3: Cross multiply
    550,140.30x = 824,226.30 × 471,408.30
  4. Step 4: Simplify right side
    550,140.30x = 388,547,118,898.29
  5. Step 5: Solve for x
    x = 388,547,118,898.29/550,140.30
  6. Step 6: Final answer
    x = 706,269.14

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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.