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Finding the Fourth Proportional to 306,669.36, 460,078.16 and 96,307.32

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Solution

The fourth proportional to 306,669.36, 460,078.16 and 96,307.32 is: 144,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,669.36 : 460,078.16 = 96,307.32 : x
  2. Step 2: Convert to fraction form
    306,669.36/460,078.16 = 96,307.32/x
  3. Step 3: Cross multiply
    306,669.36x = 460,078.16 × 96,307.32
  4. Step 4: Simplify right side
    306,669.36x = 44,308,894,580.13
  5. Step 5: Solve for x
    x = 44,308,894,580.13/306,669.36
  6. Step 6: Final answer
    x = 144,484.26

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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.