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Finding the Fourth Proportional to 495,429.48, 683,681.49 and 288,685.08

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Solution

The fourth proportional to 495,429.48, 683,681.49 and 288,685.08 is: 398,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,429.48 : 683,681.49 = 288,685.08 : x
  2. Step 2: Convert to fraction form
    495,429.48/683,681.49 = 288,685.08/x
  3. Step 3: Cross multiply
    495,429.48x = 683,681.49 × 288,685.08
  4. Step 4: Simplify right side
    495,429.48x = 197,368,646,265.38
  5. Step 5: Solve for x
    x = 197,368,646,265.38/495,429.48
  6. Step 6: Final answer
    x = 398,378.89

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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.