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Finding the Fourth Proportional to 480,015.10, 720,022.65 and 459,538.30

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Solution

The fourth proportional to 480,015.10, 720,022.65 and 459,538.30 is: 689,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,015.10 : 720,022.65 = 459,538.30 : x
  2. Step 2: Convert to fraction form
    480,015.10/720,022.65 = 459,538.30/x
  3. Step 3: Cross multiply
    480,015.10x = 720,022.65 × 459,538.30
  4. Step 4: Simplify right side
    480,015.10x = 330,877,984,542.50
  5. Step 5: Solve for x
    x = 330,877,984,542.50/480,015.10
  6. Step 6: Final answer
    x = 689,307.45

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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.