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Finding the Fourth Proportional to 456,067.60, 683,323.80 and 376,752.40

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Solution

The fourth proportional to 456,067.60, 683,323.80 and 376,752.40 is: 564,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,067.60 : 683,323.80 = 376,752.40 : x
  2. Step 2: Convert to fraction form
    456,067.60/683,323.80 = 376,752.40/x
  3. Step 3: Cross multiply
    456,067.60x = 683,323.80 × 376,752.40
  4. Step 4: Simplify right side
    456,067.60x = 257,443,881,627.12
  5. Step 5: Solve for x
    x = 257,443,881,627.12/456,067.60
  6. Step 6: Final answer
    x = 564,486.23

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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.