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Finding the Fourth Proportional to 390,083.10, 585,124.65 and 360,923.10

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Solution

The fourth proportional to 390,083.10, 585,124.65 and 360,923.10 is: 541,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,083.10 : 585,124.65 = 360,923.10 : x
  2. Step 2: Convert to fraction form
    390,083.10/585,124.65 = 360,923.10/x
  3. Step 3: Cross multiply
    390,083.10x = 585,124.65 × 360,923.10
  4. Step 4: Simplify right side
    390,083.10x = 211,185,002,564.42
  5. Step 5: Solve for x
    x = 211,185,002,564.42/390,083.10
  6. Step 6: Final answer
    x = 541,384.65

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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.