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Finding the Fourth Proportional to 378,283.14, 567,444.15 and 97,802.82

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Solution

The fourth proportional to 378,283.14, 567,444.15 and 97,802.82 is: 146,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283.14 : 567,444.15 = 97,802.82 : x
  2. Step 2: Convert to fraction form
    378,283.14/567,444.15 = 97,802.82/x
  3. Step 3: Cross multiply
    378,283.14x = 567,444.15 × 97,802.82
  4. Step 4: Simplify right side
    378,283.14x = 55,497,638,062.50
  5. Step 5: Solve for x
    x = 55,497,638,062.50/378,283.14
  6. Step 6: Final answer
    x = 146,709.26

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1.5x scale

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.