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Finding the Fourth Proportional to 458,605.40, 687,908.10 and 353,629.40

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Solution

The fourth proportional to 458,605.40, 687,908.10 and 353,629.40 is: 530,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,605.40 : 687,908.10 = 353,629.40 : x
  2. Step 2: Convert to fraction form
    458,605.40/687,908.10 = 353,629.40/x
  3. Step 3: Cross multiply
    458,605.40x = 687,908.10 × 353,629.40
  4. Step 4: Simplify right side
    458,605.40x = 243,264,528,658.14
  5. Step 5: Solve for x
    x = 243,264,528,658.14/458,605.40
  6. Step 6: Final answer
    x = 530,444.10

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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.