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Finding the Fourth Proportional to 924,270, 1,386,405 and 333,294

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Solution

The fourth proportional to 924,270, 1,386,405 and 333,294 is: 499,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,270 : 1,386,405 = 333,294 : x
  2. Step 2: Convert to fraction form
    924,270/1,386,405 = 333,294/x
  3. Step 3: Cross multiply
    924,270x = 1,386,405 × 333,294
  4. Step 4: Simplify right side
    924,270x = 462,080,468,070
  5. Step 5: Solve for x
    x = 462,080,468,070/924,270
  6. Step 6: Final answer
    x = 499,941

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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.