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Finding the Fourth Proportional to 306,947.40, 460,421.10 and 306,947.40

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Solution

The fourth proportional to 306,947.40, 460,421.10 and 306,947.40 is: 460,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,947.40 : 460,421.10 = 306,947.40 : x
  2. Step 2: Convert to fraction form
    306,947.40/460,421.10 = 306,947.40/x
  3. Step 3: Cross multiply
    306,947.40x = 460,421.10 × 306,947.40
  4. Step 4: Simplify right side
    306,947.40x = 141,325,059,550.14
  5. Step 5: Solve for x
    x = 141,325,059,550.14/306,947.40
  6. Step 6: Final answer
    x = 460,421.10

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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.