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Finding the Fourth Proportional to 405,002.40, 607,114.80 and 314,995.20

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Solution

The fourth proportional to 405,002.40, 607,114.80 and 314,995.20 is: 472,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,002.40 : 607,114.80 = 314,995.20 : x
  2. Step 2: Convert to fraction form
    405,002.40/607,114.80 = 314,995.20/x
  3. Step 3: Cross multiply
    405,002.40x = 607,114.80 × 314,995.20
  4. Step 4: Simplify right side
    405,002.40x = 191,238,247,848.96
  5. Step 5: Solve for x
    x = 191,238,247,848.96/405,002.40
  6. Step 6: Final answer
    x = 472,190.41

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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.