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Finding the Fourth Proportional to 306,678.83, 460,036.70 and 96,316.77

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Solution

The fourth proportional to 306,678.83, 460,036.70 and 96,316.77 is: 144,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,678.83 : 460,036.70 = 96,316.77 : x
  2. Step 2: Convert to fraction form
    306,678.83/460,036.70 = 96,316.77/x
  3. Step 3: Cross multiply
    306,678.83x = 460,036.70 × 96,316.77
  4. Step 4: Simplify right side
    306,678.83x = 44,309,249,742.68
  5. Step 5: Solve for x
    x = 44,309,249,742.68/306,678.83
  6. Step 6: Final answer
    x = 144,480.95

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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.