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Finding the Fourth Proportional to 368,765.82, 553,411.14 and 284,610.06

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Solution

The fourth proportional to 368,765.82, 553,411.14 and 284,610.06 is: 427,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,765.82 : 553,411.14 = 284,610.06 : x
  2. Step 2: Convert to fraction form
    368,765.82/553,411.14 = 284,610.06/x
  3. Step 3: Cross multiply
    368,765.82x = 553,411.14 × 284,610.06
  4. Step 4: Simplify right side
    368,765.82x = 157,506,377,760.07
  5. Step 5: Solve for x
    x = 157,506,377,760.07/368,765.82
  6. Step 6: Final answer
    x = 427,117.62

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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.