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Finding the Fourth Proportional to 495,641.25, 684,043.25 and 294,437.25

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Solution

The fourth proportional to 495,641.25, 684,043.25 and 294,437.25 is: 406,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,641.25 : 684,043.25 = 294,437.25 : x
  2. Step 2: Convert to fraction form
    495,641.25/684,043.25 = 294,437.25/x
  3. Step 3: Cross multiply
    495,641.25x = 684,043.25 × 294,437.25
  4. Step 4: Simplify right side
    495,641.25x = 201,407,811,938.88
  5. Step 5: Solve for x
    x = 201,407,811,938.88/495,641.25
  6. Step 6: Final answer
    x = 406,358.05

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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.