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Finding the Fourth Proportional to 495,699.75, 684,065.66 and 294,495.75

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Solution

The fourth proportional to 495,699.75, 684,065.66 and 294,495.75 is: 406,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,699.75 : 684,065.66 = 294,495.75 : x
  2. Step 2: Convert to fraction form
    495,699.75/684,065.66 = 294,495.75/x
  3. Step 3: Cross multiply
    495,699.75x = 684,065.66 × 294,495.75
  4. Step 4: Simplify right side
    495,699.75x = 201,454,428,118.47
  5. Step 5: Solve for x
    x = 201,454,428,118.47/495,699.75
  6. Step 6: Final answer
    x = 406,404.14

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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.