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Finding the Fourth Proportional to 480,014.10, 720,021.15 and 164,442.90

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Solution

The fourth proportional to 480,014.10, 720,021.15 and 164,442.90 is: 246,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,014.10 : 720,021.15 = 164,442.90 : x
  2. Step 2: Convert to fraction form
    480,014.10/720,021.15 = 164,442.90/x
  3. Step 3: Cross multiply
    480,014.10x = 720,021.15 × 164,442.90
  4. Step 4: Simplify right side
    480,014.10x = 118,402,365,967.34
  5. Step 5: Solve for x
    x = 118,402,365,967.34/480,014.10
  6. Step 6: Final answer
    x = 246,664.35

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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.