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Finding the Fourth Proportional to 328,114.40, 459,671.20 and 328,114.40

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Solution

The fourth proportional to 328,114.40, 459,671.20 and 328,114.40 is: 459,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,114.40 : 459,671.20 = 328,114.40 : x
  2. Step 2: Convert to fraction form
    328,114.40/459,671.20 = 328,114.40/x
  3. Step 3: Cross multiply
    328,114.40x = 459,671.20 × 328,114.40
  4. Step 4: Simplify right side
    328,114.40x = 150,824,739,985.28
  5. Step 5: Solve for x
    x = 150,824,739,985.28/328,114.40
  6. Step 6: Final answer
    x = 459,671.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.