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Finding the Fourth Proportional to 402,983.60, 604,912.80 and 314,628.80

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Solution

The fourth proportional to 402,983.60, 604,912.80 and 314,628.80 is: 472,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,983.60 : 604,912.80 = 314,628.80 : x
  2. Step 2: Convert to fraction form
    402,983.60/604,912.80 = 314,628.80/x
  3. Step 3: Cross multiply
    402,983.60x = 604,912.80 × 314,628.80
  4. Step 4: Simplify right side
    402,983.60x = 190,322,988,368.64
  5. Step 5: Solve for x
    x = 190,322,988,368.64/402,983.60
  6. Step 6: Final answer
    x = 472,284.70

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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.