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Finding the Fourth Proportional to 498,246.60, 747,369.90 and 470,690.40

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Solution

The fourth proportional to 498,246.60, 747,369.90 and 470,690.40 is: 706,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,246.60 : 747,369.90 = 470,690.40 : x
  2. Step 2: Convert to fraction form
    498,246.60/747,369.90 = 470,690.40/x
  3. Step 3: Cross multiply
    498,246.60x = 747,369.90 × 470,690.40
  4. Step 4: Simplify right side
    498,246.60x = 351,779,837,178.96
  5. Step 5: Solve for x
    x = 351,779,837,178.96/498,246.60
  6. Step 6: Final answer
    x = 706,035.60

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Why These Related Problems?

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