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Finding the Fourth Proportional to 306,712.40, 460,068.60 and 96,371.60

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Solution

The fourth proportional to 306,712.40, 460,068.60 and 96,371.60 is: 144,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712.40 : 460,068.60 = 96,371.60 : x
  2. Step 2: Convert to fraction form
    306,712.40/460,068.60 = 96,371.60/x
  3. Step 3: Cross multiply
    306,712.40x = 460,068.60 × 96,371.60
  4. Step 4: Simplify right side
    306,712.40x = 44,337,547,091.76
  5. Step 5: Solve for x
    x = 44,337,547,091.76/306,712.40
  6. Step 6: Final answer
    x = 144,557.40

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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.