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Finding the Fourth Proportional to 495,873.20, 743,809.80 and 306,916.40

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Solution

The fourth proportional to 495,873.20, 743,809.80 and 306,916.40 is: 460,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,873.20 : 743,809.80 = 306,916.40 : x
  2. Step 2: Convert to fraction form
    495,873.20/743,809.80 = 306,916.40/x
  3. Step 3: Cross multiply
    495,873.20x = 743,809.80 × 306,916.40
  4. Step 4: Simplify right side
    495,873.20x = 228,287,426,100.72
  5. Step 5: Solve for x
    x = 228,287,426,100.72/495,873.20
  6. Step 6: Final answer
    x = 460,374.60

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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.