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Finding the Fourth Proportional to 306,980.92, 460,533.66 and 96,569.92

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Solution

The fourth proportional to 306,980.92, 460,533.66 and 96,569.92 is: 144,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,980.92 : 460,533.66 = 96,569.92 : x
  2. Step 2: Convert to fraction form
    306,980.92/460,533.66 = 96,569.92/x
  3. Step 3: Cross multiply
    306,980.92x = 460,533.66 × 96,569.92
  4. Step 4: Simplify right side
    306,980.92x = 44,473,698,703.51
  5. Step 5: Solve for x
    x = 44,473,698,703.51/306,980.92
  6. Step 6: Final answer
    x = 144,874.47

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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.