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Finding the Fourth Proportional to 310,648.40, 465,972.60 and 185,925.20

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Solution

The fourth proportional to 310,648.40, 465,972.60 and 185,925.20 is: 278,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,648.40 : 465,972.60 = 185,925.20 : x
  2. Step 2: Convert to fraction form
    310,648.40/465,972.60 = 185,925.20/x
  3. Step 3: Cross multiply
    310,648.40x = 465,972.60 × 185,925.20
  4. Step 4: Simplify right side
    310,648.40x = 86,636,048,849.52
  5. Step 5: Solve for x
    x = 86,636,048,849.52/310,648.40
  6. Step 6: Final answer
    x = 278,887.80

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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.