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Finding the Fourth Proportional to 384,912.10, 577,368.15 and 314,928.10

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Solution

The fourth proportional to 384,912.10, 577,368.15 and 314,928.10 is: 472,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912.10 : 577,368.15 = 314,928.10 : x
  2. Step 2: Convert to fraction form
    384,912.10/577,368.15 = 314,928.10/x
  3. Step 3: Cross multiply
    384,912.10x = 577,368.15 × 314,928.10
  4. Step 4: Simplify right side
    384,912.10x = 181,829,454,480.02
  5. Step 5: Solve for x
    x = 181,829,454,480.02/384,912.10
  6. Step 6: Final answer
    x = 472,392.15

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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.