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Finding the Fourth Proportional to 384,048.66, 576,073.05 and 103,565.94

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Solution

The fourth proportional to 384,048.66, 576,073.05 and 103,565.94 is: 155,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,048.66 : 576,073.05 = 103,565.94 : x
  2. Step 2: Convert to fraction form
    384,048.66/576,073.05 = 103,565.94/x
  3. Step 3: Cross multiply
    384,048.66x = 576,073.05 × 103,565.94
  4. Step 4: Simplify right side
    384,048.66x = 59,661,546,931.92
  5. Step 5: Solve for x
    x = 59,661,546,931.92/384,048.66
  6. Step 6: Final answer
    x = 155,348.93

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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.