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Finding the Fourth Proportional to 3,287,904, 4,931,856 and 924,000

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Solution

The fourth proportional to 3,287,904, 4,931,856 and 924,000 is: 1,386,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,904 : 4,931,856 = 924,000 : x
  2. Step 2: Convert to fraction form
    3,287,904/4,931,856 = 924,000/x
  3. Step 3: Cross multiply
    3,287,904x = 4,931,856 × 924,000
  4. Step 4: Simplify right side
    3,287,904x = 4,557,034,944,000
  5. Step 5: Solve for x
    x = 4,557,034,944,000/3,287,904
  6. Step 6: Final answer
    x = 1,386,000

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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.