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Finding the Fourth Proportional to 384,768.10, 577,152.15 and 319,232.10

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Solution

The fourth proportional to 384,768.10, 577,152.15 and 319,232.10 is: 478,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,768.10 : 577,152.15 = 319,232.10 : x
  2. Step 2: Convert to fraction form
    384,768.10/577,152.15 = 319,232.10/x
  3. Step 3: Cross multiply
    384,768.10x = 577,152.15 × 319,232.10
  4. Step 4: Simplify right side
    384,768.10x = 184,245,492,864.02
  5. Step 5: Solve for x
    x = 184,245,492,864.02/384,768.10
  6. Step 6: Final answer
    x = 478,848.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.