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Finding the Fourth Proportional to 312,124.80, 468,187.20 and 307,459.20

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Solution

The fourth proportional to 312,124.80, 468,187.20 and 307,459.20 is: 461,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,124.80 : 468,187.20 = 307,459.20 : x
  2. Step 2: Convert to fraction form
    312,124.80/468,187.20 = 307,459.20/x
  3. Step 3: Cross multiply
    312,124.80x = 468,187.20 × 307,459.20
  4. Step 4: Simplify right side
    312,124.80x = 143,948,461,962.24
  5. Step 5: Solve for x
    x = 143,948,461,962.24/312,124.80
  6. Step 6: Final answer
    x = 461,188.80

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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.