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Finding the Fourth Proportional to 514,847.60, 772,271.40 and 390,431.60

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Solution

The fourth proportional to 514,847.60, 772,271.40 and 390,431.60 is: 585,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,847.60 : 772,271.40 = 390,431.60 : x
  2. Step 2: Convert to fraction form
    514,847.60/772,271.40 = 390,431.60/x
  3. Step 3: Cross multiply
    514,847.60x = 772,271.40 × 390,431.60
  4. Step 4: Simplify right side
    514,847.60x = 301,519,158,336.24
  5. Step 5: Solve for x
    x = 301,519,158,336.24/514,847.60
  6. Step 6: Final answer
    x = 585,647.40

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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.