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Finding the Fourth Proportional to 458,536.40, 687,804.60 and 409,547.60

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Solution

The fourth proportional to 458,536.40, 687,804.60 and 409,547.60 is: 614,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,536.40 : 687,804.60 = 409,547.60 : x
  2. Step 2: Convert to fraction form
    458,536.40/687,804.60 = 409,547.60/x
  3. Step 3: Cross multiply
    458,536.40x = 687,804.60 × 409,547.60
  4. Step 4: Simplify right side
    458,536.40x = 281,688,723,198.96
  5. Step 5: Solve for x
    x = 281,688,723,198.96/458,536.40
  6. Step 6: Final answer
    x = 614,321.40

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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.