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Finding the Fourth Proportional to 314,937.36, 472,466.88 and 101,762.64

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Solution

The fourth proportional to 314,937.36, 472,466.88 and 101,762.64 is: 152,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,937.36 : 472,466.88 = 101,762.64 : x
  2. Step 2: Convert to fraction form
    314,937.36/472,466.88 = 101,762.64/x
  3. Step 3: Cross multiply
    314,937.36x = 472,466.88 × 101,762.64
  4. Step 4: Simplify right side
    314,937.36x = 48,079,477,021.36
  5. Step 5: Solve for x
    x = 48,079,477,021.36/314,937.36
  6. Step 6: Final answer
    x = 152,663.62

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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.