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Finding the Fourth Proportional to 495,674.44, 684,030.72 and 294,470.44

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Solution

The fourth proportional to 495,674.44, 684,030.72 and 294,470.44 is: 406,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,674.44 : 684,030.72 = 294,470.44 : x
  2. Step 2: Convert to fraction form
    495,674.44/684,030.72 = 294,470.44/x
  3. Step 3: Cross multiply
    495,674.44x = 684,030.72 × 294,470.44
  4. Step 4: Simplify right side
    495,674.44x = 201,426,826,486.10
  5. Step 5: Solve for x
    x = 201,426,826,486.10/495,674.44
  6. Step 6: Final answer
    x = 406,369.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.