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Finding the Fourth Proportional to 522,559.34, 783,647.64 and 410,457.81

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Solution

The fourth proportional to 522,559.34, 783,647.64 and 410,457.81 is: 615,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,559.34 : 783,647.64 = 410,457.81 : x
  2. Step 2: Convert to fraction form
    522,559.34/783,647.64 = 410,457.81/x
  3. Step 3: Cross multiply
    522,559.34x = 783,647.64 × 410,457.81
  4. Step 4: Simplify right side
    522,559.34x = 321,654,294,126.07
  5. Step 5: Solve for x
    x = 321,654,294,126.07/522,559.34
  6. Step 6: Final answer
    x = 615,536.40

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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.