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Finding the Fourth Proportional to 378,283.64, 567,444.90 and 97,803.32

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Solution

The fourth proportional to 378,283.64, 567,444.90 and 97,803.32 is: 146,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283.64 : 567,444.90 = 97,803.32 : x
  2. Step 2: Convert to fraction form
    378,283.64/567,444.90 = 97,803.32/x
  3. Step 3: Cross multiply
    378,283.64x = 567,444.90 × 97,803.32
  4. Step 4: Simplify right side
    378,283.64x = 55,497,995,137.07
  5. Step 5: Solve for x
    x = 55,497,995,137.07/378,283.64
  6. Step 6: Final answer
    x = 146,710.01

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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.