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Finding the Fourth Proportional to 480,327.64, 720,506.04 and 164,780

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Solution

The fourth proportional to 480,327.64, 720,506.04 and 164,780 is: 247,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,327.64 : 720,506.04 = 164,780 : x
  2. Step 2: Convert to fraction form
    480,327.64/720,506.04 = 164,780/x
  3. Step 3: Cross multiply
    480,327.64x = 720,506.04 × 164,780
  4. Step 4: Simplify right side
    480,327.64x = 118,724,985,271.20
  5. Step 5: Solve for x
    x = 118,724,985,271.20/480,327.64
  6. Step 6: Final answer
    x = 247,175.00

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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.