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Finding the Fourth Proportional to 924,282, 1,386,423 and 333,306

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Solution

The fourth proportional to 924,282, 1,386,423 and 333,306 is: 499,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,282 : 1,386,423 = 333,306 : x
  2. Step 2: Convert to fraction form
    924,282/1,386,423 = 333,306/x
  3. Step 3: Cross multiply
    924,282x = 1,386,423 × 333,306
  4. Step 4: Simplify right side
    924,282x = 462,103,104,438
  5. Step 5: Solve for x
    x = 462,103,104,438/924,282
  6. Step 6: Final answer
    x = 499,959

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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.